Three vectors A- -ai- -j- -k- -B- -i- -bj- -k- -C- -i- -j- -ck- are mutually perpendicular i- -j- -k- are unit vectors along X-Y-Z axis respectively- The respective values of a-b and c are

The correct option is B 1 2 , 1 2 , 1 2 a+b+1=0 #160;—— (1) 1+b+c=0 #160;——–(2) a+1+c=0 #160;———(3)——————– 2(a+b+ ...

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Three vectors...

Question

Three vectors $\to A = a \to i + \to j + \to k, \to B = \to i + b \to j + \to k, \to C = \to i + \to j + c \to k$ are mutually perpendicular ( $\to i, \to j, \to k$ are unit vectors along $X, Y, Z$ axis respectively). The respective values of $a, b$ and $c$ are

0, 0, 0

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- \frac{1}{2}, - \frac{1}{2}, - \frac{1}{2}

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1, - 1, 1

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\frac{1}{2}, \frac{1}{2}, \frac{1}{2}

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