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The magnitude of the vector `X^(2)hat(i) + (X - 1) hat(j)` is same as that of the magnitude of vectore `-hat(j) + (X^(2) - 1) hat(k)`. The value of x isA. 1B. `-1`C. 0D. 2 |
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Answer» Correct Answer - B `sqrt((x^(2))^(2) + (x - 1)^(2)) = sqrt((1)^(2) + (x^(2) + 1)^(2))` `x^(4) + x^(2) + 1 - 2x = 1 + x^(4) + 1 + 2x^(2)` `x^(2) + 2x + 1 = 0` `(x + 1)^(2) = 0` `x = -1` |
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