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Question

Question: If the vectors \(3\mathbf{i} + 2\mathbf{j} - \mathbf{k}\)and \(6\mathbf{i} - 4x\mathbf{j} + y\mathbf...

If the vectors 3i+2jk3\mathbf{i} + 2\mathbf{j} - \mathbf{k}and 6i4xj+yk6\mathbf{i} - 4x\mathbf{j} + y\mathbf{k} are parallel, then the value of x and y will be

A

– 1, – 2

B

1, – 2

C

– 1, 2

D

1, 2

Answer

– 1, – 2

Explanation

Solution

Obviously, 36=24x=1yx=1\frac{3}{6} = \frac{2}{- 4x} = - \frac{1}{y} \Rightarrow x = - 1 and y=2.y = - 2.