Question
Give P = A + B and Q = A – B. If the magnitudes of vector P and Q are equal, what is the angle between vectors A and B ?
Answer: Option C
:
C
Let θ be the angle between A and B. Then magnitudes of vectors P and Q are given by
P2=A2+B2+2ABcosθ
and Q2=A2+B2–2ABcosθ
Since P = Q, it follows that cosθ=0orθ=π2. Hence correct choice is (c).
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:
C
Let θ be the angle between A and B. Then magnitudes of vectors P and Q are given by
P2=A2+B2+2ABcosθ
and Q2=A2+B2–2ABcosθ
Since P = Q, it follows that cosθ=0orθ=π2. Hence correct choice is (c).
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