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JEE Previous Year Question

$If P = 3 i + 3 j + 2 k and Q = 4 i + 3 j + 2.5 k then, The unit vector in the direction of P \times Q is \frac{1}{x} (3 i + j - 23 k) . The value of x is$

Topic: JEE PYQ

Answer: 4. Full step-by-step solution below.

Correct answer: 4

Solution

(4) P \times Q = (ij k 33243 2.5) = 3 \frac{i}{2} + \frac{j}{2} - 3 k \Rightarrow \frac{P \times Q}{( P \times Q )} = \frac{1}{2} (3 \frac{i}{2} + \frac{j}{2} - 3 k) = \frac{1}{4} (3 i + j - 23 k) x = 4

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