True or False? In Exercises 95–98, determine whetherthe statement is true or false. Justify your answer.95. If u and v have the same magnitude and direction, thenu and v are equivalent.96. If u is a unit vector in the direction of v, then v = ,v,u.97. If v = ai + bj = 0, then a = −b.98. If u = ai + bj is a unit vector, then a2 + b2 = 1.
True or False? In Exercises 95–98, determine whetherthe statement is true or false. Justify your answer.95. If u and v have the same magnitude and direction, thenu and v are equivalent.96. If u is a unit vector in the direction of v, then v = ,v,u.97. If v = ai + bj = 0, then a = −b.98. If u = ai + bj is a unit vector, then a2 + b2 = 1.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.3: Vectors In The Plane
Problem 96E: True or False? In Exercises 9598, determine whether the statement is true or false. Justify your...
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Question
True or False? In Exercises 95–98, determine whether
the statement is true or false. Justify your answer.
95. If u and v have the same magnitude and direction, then
u and v are equivalent.
96. If u is a unit
97. If v = ai + bj = 0, then a = −b.
98. If u = ai + bj is a unit vector, then a2 + b2 = 1.
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