Write the vector v in the form ai + bj, given its magnitude is v = 30 and the angle it makes with the positive x-axis is a= 240°. v= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form ai + bj.)

Q: Using the given magnitude and direction in standard position, write the vector in component form.…

A: given  magnitude |v| =4  direction θ = 300°

Q: Using the given magnitude and direction in standard position, write the vector in component form.…

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Q: Given vectors a = (1, -3) and b = (-2, 0), find 4a - 2b. | Write your answer in component form. 4а -…

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Q: For the pair of vectors shown to the right, find the magnitude and direction angle of the resultant.…

A: We have to find magnitude and direction of resultant vector.

Q: Given vectors a = (-6, 4) and b = (0, -2), find -3a +4b. Write your answer in component form. -3a +…

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Q: Write the given vector in terms of i and j. ? =  (0, −10)

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Q: Given vectors a= (-4, 3) and b= (1, 2), find 3a-4b. %3D Write your answer in component form. 3a - 4b…

A: Given, a=<-4,3>, b=<1,2> We have to find 3a-4b

Q: b a

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Q: Write the vector in component form. m = 9, 315°

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Q: Write the vector v in the form ai +bj, given its magnitude |M and the angle oc it makes with the…

A: Given magnitude of vector v, ||v||= 14 and the angle that it makes with the positive x axis is 135°.

Q: Write the vector v in the form ai + bj, given its magnitude is ||v|| = 38 and the angle it makes…

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Q: n = (-16, -30)

A: A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.…

Q: Find the magnitude of the vector (-4, 2). Write your answer in simplified radical form.

A: Magnitude of a vector means length of the vector. Let A= <a, b> be a vector then formula for…

Q: 3і - бј — 2k

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Q: simplify the given vector expression. -3(a - c) + 2(a + 2b) + 3(c -b)

A: Given that expression, -3(a - c) + 2(a + 2b) + 3(c -b) For any three vectors u, v and w the property…

Q: Find the magnitude of the vector  , 3−6 .   Write your answer in simplified radical form.

A: Let the vector be u=3,-6. To determine the magnitude of the vector v=x,y, use the formula v=x2+y2.

Q: Find the magnitude of the vector (-6, 3). Write your answer in simplified radical form.

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Q: Find the vector 4u+2w given the vectors u = 2i-5j and w = 4j. Write your answer in the form ai+bj. i…

A: Given that vector u=2i-5j,w=4jT0 find ;-4u+2wsolution ;

Q: Write the vector v in terms of i and j whose magnitude||v||= 8, and direction angle θ = 45°.

A: Write the vector v in terms of i and j whose magnitude||v||= 8, and direction angle θ = 45°.

Q: write the given vector in terms of i and j. u= (-8,5).

A: It is given that, the vector u is, (–8, 5).Assume that, the symbol i represents the horizontal…

Q: Write a vector equation for the line segment from P to Q. 4

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Q: Given the vectors u = -i-4j and w=-2i+5j, find 7u and u – w. | Write your answers in the form ai+bj.…

A: Given the vector u = -i - 4j And w = -2i + 5j Find 7u and u - w in the form of ai + bj.

Q: n. 3.

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Q: Write a unit vector that points in the direction of the vector i+√2j+7k

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Q: Write the vector v in terms of i and j whose magnitude||v|| = 6, and direction angle θ = 30°.

A: It is given that magnitude||v|| = 6 and  angle θ = 30°.

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

A: For a given vector v→, length of the vector is denoted by v→  and direction vector is obtained by…

Q: Find the angle a between the vectors 1 -3 and 3 109.136

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Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

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Q: Find the vector -3u+4w given the vectors u = -i-7j and w = -9i+4j. Write your answer in the form…

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Q: Find the magnitude of the vector (5, 5). Write your answer in simplified radical form. ロ后 可 (0,0)

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Q: Given the vectors a=(7, -4) and b=(-3, 8), find 2a and a +b. Write your answers in component form.…

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Q: Given vectors a = and b = , find 3a - 2b.

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Q: Given vectors u = (8,-6) and v = (-3,-3), find the sum u +v and write the result in component form.…

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Q: a) Write an algebraic rule that would translate a figure 15 units right and 13 units down. (x, y) →…

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Q: Given the diagram of the rectangular prism, determine expressions for the listed vectors in terms of…

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Q: Find the magnitude of the vector v =-6i+4j. Write your answer in simplified radical form.

A: We have to find the magnitude of the vector

Q: Add the given vectors by components. A= 366, 0, - 232.3° B%3D226,0,3D296.6

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Q: Write the vector v in the form ai + bj, given its magnitude ||v|| and the angle a it makes with the…

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Q: Write the vector in the form . If necessary, round values to the nearest hundredth. 43) 5(0525%3=…

A: For this we can easily write in vector form from graph itself as there given magnitude and angle.

Q: Find the vector -3u+4w given the vectors u = -i-4j and w =-2i+5j. Write your answer in the form…

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Q: Find the vector -5u-3v given the vectors u 5i+j and v = 2i-3j. Write your answer in the form ai+bj.…

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Q: Find the magnitude of the vector (2, 2). Write your answer in simplified radical form. : o/o (0.0)

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Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

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Q: Given vectors a = (2, 6) and b = (1, -3), find - 3a+5b. Write your answer in component form. -3a +…

A: We need to find the sum of given vectors.

Q: Write the following vectors in the component form: 15) 3k -5i

A: The component form of a vector is given as < x,y,z  >, where x describes how far on the x-axis…

Q: Copy the vectors in the figure and use them to draw the following vectors. (а) а + b (c) 2а (е) 2а +…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical…

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Q: Given a = i + 4j - 3k and b = -5i – j + 7k , answer the following showing all work. If your answer…

A: In this question we have to perform some operation.

Q: Given the vectors v=7i-5j and w=−i+3j, find −9v and v-w. Write your answers in the form ai+bj.

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Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.