b) Adam walks in a straight line form the point A(-1, 4) to the point Q (4, 16) with constant speed. His position vector can be expressed in the form p = a + tu, where t is the time after he starts walking. Adam arrives at the point Q at t = 3. y Q(4,16) B (11,9) A (-1,4) >X i. State the vectors a and u. ii. Bob is at point B(11,9). During Adam's walk from A to P, Bob wishes to throw a ball to Adam. Bob decides to throw the ball when Adam is at the closest point to B. a) Write a vector w that is perpendicular to u. B) Hence or otherwise, find value of t when Bob throws the ball to Adam.

b) Adam walks in a straight line form the point A(-1, 4) to the point Q (4, 16) with constant speed. His position vector can be expressed in the form p = a + tu, where t is the time after he starts walking. Adam arrives at the point Q at t = 3. y Q(4,16) B (11,9) A (-1,4) >X i. State the vectors a and u. ii. Bob is at point B(11,9). During Adam's walk from A to P, Bob wishes to throw a ball to Adam. Bob decides to throw the ball when Adam is at the closest point to B. a) Write a vector w that is perpendicular to u. B) Hence or otherwise, find value of t when Bob throws the ball to Adam.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 22E

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