vectors-m

Related Questions

• The vector $2\,\mathbf{i}+\mathbf{j}-\mathbf{k}$ is perpendicular to $\mathbf{i}-4\mathbf{j}+\lambda \mathbf{k},$ if $\lambda =$

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• If the position vectors of the point A, B, C be i, j, k respectively and P be a point such that $\overrightarrow{AB}=\overrightarrow{CP},$ then the position vector of P is

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• If ABCD is a parallelogram, $\overrightarrow{AB}=2\,\mathbf{i}+4\,\mathbf{j}-5\,\mathbf{k}$ and $\overrightarrow{AD}=\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},$ then the unit vector in the direction of BD is

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• Let A and B be points with position vectors a and b with respect to the origin O. If the point C on OA is such that $2AC=CO,\,\,CD$ is parallel to OB and $|\overrightarrow{CD}|\,\,=\,\,3|\overrightarrow{OB}|,$ then $\overrightarrow{AD}$ is equal to

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• If $\mathbf{a}=2\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},\,\,\mathbf{b}=-\mathbf{i}+2\,\mathbf{j}+\mathbf{k}$ and $c=3\,\mathbf{i}+\mathbf{j},$ then $\mathbf{a}+t\,\mathbf{b}$ is perpendicular to c if $t=$

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