2. Consider the following vector configurations. Draw where you think the balancing vector (i.e. the vector that would balance all the forces) should be placed and briefly explain your answer. i- iii - ii -
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so for the first one would be exactly the opposite I think and second one strigh line between to vectors but not sure for the third one
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- Let the four compass directions north, east, south, and west be represented by unit vectors ne . . and respectively. Vertically up and down are represented as u and d. Let us also identify unit vectors that are halfway between these directions such as for northeast. Rank the magnitudes of the following cross products from largest to smallest. If any are equal in magnitude or are equal to zero, show that in your ranking, (a) (b) (c) (d) (e)The components of vectors ?⃗ and ?⃗ are given as follows: Ax = 5.1 Bx = -2.6 Ay = -5 By = -4.3 What is the magnitude of vector sum ? + ? choices: a. 2.5 b. 5.1 c. -9.3 d. 9.6 The equilibrant force is 5500 Dynes in magnitude and in the direction of 30 degrees South of East. Find the resultant force and direction. 5500 Dynes 170 degres 5500 Dynes, 150 degrees 5500 Dynes, 130 degrees 5500 Dynes, 30 degreesIf two or more force vectors are added, then the result is a resultant force. b) Under what conditions can the Pythagorean theorem and the law of cosines be used to find the magnitude of the resultant of two vectors? 2. Two basketball players apply forces 10N and 12N on the ball during a game. What is the resultant force applied on the ball if the forces are wse SAMSUNG
- If the magnitude of the vector product of two vectors a and b are are equal to ab, then what do we know about a and b? a. They are parallel O b. they are in different directions O c. they are perpendicular O d. they are antiparallelWhich of the following statement/s is/are true about the base vectors used in coordinate systems for curvilinear motion? 1. They are mutually perpendicular with each other. II. They are mutually perpendicular with each other in path coordinates system only. III. They are mutually perpendicular with each other in polar coordinates system only. IV. They are never mutually perpendicular with each other. O a. All statements are true. O b. Statement IV only O c. Statement I only. O d. Statement III only O e. Statement II onlydetermine X-Y. Express your answer in unit vectors.
- Two vectors are defined in component form below. Use them to answer the following questions. Note: ,ŷ, and 2 are Cartesian unit vectors. H = -5ŷ + 42 G = -5x + 22 a) Determine A if A = H.G. b) If] = G., then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. ii. A = -J A = J c) Determine C in component form if C = H x G. d) If K = G x A, then which of the following is true? (Choose all that are true.) Briefly explain your reasoning. i. C = -K ii. iii. iv. C = R K C. K = 0 |× K = 0The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.How do we add perpendicular vectors ? Explain.
- Vector V, in the diagram is equal to: Select one: O a. V1- V b. V2 – V1 c. V + V2 d. V cos e Previous page Next pageTwo unit vectors, a and b make an angle of 60° with each other. a. Construct a well labelled diagram for 2a-4b b. Calculate the magnitude of 2a - 4band its direction relative to vector a or ô (your choice). Round answers to 1 decimal place.Determine the horizontal component of a 10.20-N force, applied 17 degrees below the horizontal The act of combining several vectors yields a new vector (capable of replacing the original ones with the same effect) called a : A. Sum B. Equilibrant C. Resultant D. Total What is not useful in characterizing a vector? A. Unit B. Angle C. Direction D. Magnitude