vectors-m

Related Questions

• If $\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ and $3\mathbf{i}-2\mathbf{j}+\mathbf{k}$ represents the adjacent sides of a parallelogram, then the area of this parallelogram is

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• If $\theta $ is the angle between the vectors a and b, then $\frac{|a\times b|}{|a\,.\,b|}$ equal to

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• Let the points A, B and P be (– 2, 2, 4), (2, 6, 3) and (1,2,1) respectively. The magnitude of the moment of the force represented by $\overrightarrow{AB}$ and acting at A about P is

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• If $\mathbf{a}=\mathbf{i}+2\mathbf{j}+2\mathbf{k}$ and $\mathbf{b}=3\mathbf{i}+6\mathbf{j}+2\mathbf{k},$ then a vector in the direction of a and having magnitude as |b| is [IIT 1983]

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• $\mathbf{a},\,\mathbf{b}$ and c are three vectors with magnitude $|\mathbf{a}|\,=4,$ $|\mathbf{b}|\,=4,$ $|\mathbf{c}|\,=2$ and such that $\mathbf{a}$ is perpendicular to $(\mathbf{b}+\mathbf{c}),\,\mathbf{b}$ is perpendicular to $(\mathbf{c}+\mathbf{a})$ and $\mathbf{c}$ is perpendicular to $(\mathbf{a}+\mathbf{b}).$ It follows that $|\mathbf{a}+\mathbf{b}+\mathbf{c}|$ is equal to

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