Home Physics Vectors Basic Mathematics If | + | = | | = | |, then the angle bet…
Physics Vectors Basic Mathematics MCQ (Single Correct)

If | + | = | | = | |, then the angle between and is

A
B
60º
C
90º
D
120º

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Text Solution

Verified by Experts
The correct answer is:
D

| + | = | | = | |

Case -I Either | | = | | = 0 (zero vectors)

Case - II |A| = |B| ≠ 0

| + | = A2 + B2 + AB cos θ

|A| = |B|

= 2A2 + 2A2 cos θ = 2A2 (1 + cos θ )

= 2A (2cos2 ) = 4A cos2

Now |A + B| = A

cos =

= 60°

θ = 120°

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