Questions
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is
a
450
b
1800
c
00
d
900
detailed solution
Correct option is D
Let the two vectors be A→ and B→ . Then, magnitude of sum of A→ and B→ , |A→+B→|=A2+B2+2ABcosθ and magnitude of difference of A→ and B→ , |A→-B→|=A2+B2-2ABcosθ,|A→+B→|=|A→-B→| or A2+B2+2ABcosθ=A2+B2-2ABcosθ⇒4ABcosθ=0∵4AB≠0, ∴cosθ=0 or θ=90°Talk to our academic expert!
Similar Questions
When two vectors of magnitudes ‘a’ and ‘b’ respectively are added, the magnitude of resultant vector is always
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