vectors-m

Related Questions

• If a, b, c are unit vectors such that $\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0},$ then $\mathbf{a}\,\,.\,\,\mathbf{b}+\mathbf{b}\,\,.\,\,\mathbf{c}+\mathbf{c}\,\,.\,\,\mathbf{a}=$

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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 a and b are two non-zero vectors, then the component of b along a 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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• A force $\mathbf{F}=2\mathbf{i}+\mathbf{j}-\mathbf{k}$ acts at a point A, whose position vector is $2\mathbf{i}-\mathbf{j}$. The moment of F about the origin is

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