vectors-m

Related Questions

• The vectors $3\,\mathbf{i}+\mathbf{j}-5\,\mathbf{k}$ and $a\,\mathbf{i}+b\,\mathbf{j}-15\,\mathbf{k}$ are collinear, if

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• A unit vector perpendicular to the plane containing the vectors $\mathbf{i}-\mathbf{j}+\mathbf{k}$ and $-\mathbf{i}+\mathbf{j}+\mathbf{k}$ is

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• If $\overrightarrow{OA}=3\mathbf{i}+2\mathbf{j}-\mathbf{k}$ and $\overrightarrow{OB}=\mathbf{i}+3\mathbf{j}+\mathbf{k}$, then the area of the triangle OAB is

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• If ABCD is a parallelogram and the position vectors of A, B, C are $\mathbf{i}+3\mathbf{j}+5\mathbf{k},\,\,\mathbf{i}+\mathbf{j}+\mathbf{k}$ and $7\mathbf{i}+7\mathbf{j}+7\mathbf{k},$ then the position vector of D will be

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• If the angle between two vectors $\mathbf{i}+\mathbf{k}$ and $\mathbf{i}-\mathbf{j}+a\mathbf{k}$ is $\pi /3,$ then the value of $a=$

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