The vectors A and B are such that |A + B| = |A - B|, then the angle between the two vectors is:
Correct answer: C. 900
- A. 00
- B. 600
- C. 900
- D. 1800
Explanation
Consider angle between A and B is ∅The resultant of A + B vector is given as,R = √(A²+B²+2AB cos∅)The resultant of A-B vector is given as,R= √(A²+B²-2AB cos∅)As it is given in question,|A+B| = |A-B|√(A²+B²+2AB cos∅) = √(A²+B²-2AB cos∅)Solving,4ABcos∅ = 0Cos ∅ = 0∅ = 90°
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Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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