1.

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vector, the angle between these Vector isA. ` 0^@`B. (b) ` 90^@`C. (45^@`D. ` 180^@`

Answer» Correct Answer - B
Give , `| vec A+vec B| =| vec A-vec B|`
or ` sqrt(A^2 +B^2 + 2 B cos theta)`
` = sqrt A^2 +B^2 = 2 AB cos theta)` ltbRgt or ` A^2 + B^2 + 2 AB cos theta = A^2 + B^2 - 2 AB cos theta`
or ` 4 AB cos theta = 0 ` or ` cos theta = 0` or `theta = 90^@`.


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