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| 1. |
What is the angle between sum of the vectors and difference of two vectors |
| Answer» LET the two vectors be A and B with MAGNITUDES A and B respectively. Then magnitude of their SUM is given by:∣ A + B ∣= A 2 +B 2 +2ABcosθ →(1) (θ= ANGLE between the vectors)Magnitude of their difference is given by:∣ A − B ∣= A 2 +B 2 −2ABcosθ →(2)As ∣ A + B ∣=∣ A − B ∣⇒A 2 +B 2 +2ABcosθ=A 2 +B 2 −2ABcosθ⇒4ABcosθ=0 or cosθ=0⇒θ=90 o . | |