vectors-m

Related Questions

• 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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• If the force $\overrightarrow{F}=\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ moves from $\mathbf{i}+\mathbf{j}-\mathbf{k}$ to $2\mathbf{i}-\mathbf{j}+\mathbf{k},$ then work done will be represented by

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• A unit vector in the plane of $\mathbf{i}+2\mathbf{j}+\mathbf{k}$ and $\mathbf{i}+\mathbf{j}+2\mathbf{k}$are perpendicular to $2\mathbf{i}+\mathbf{j}+\mathbf{k}$is

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• If $|\mathbf{a}|\,\,=3,\,\,\,|\mathbf{b}|\,\,=1,\,\,|\mathbf{c}|\,\,=4$ and $\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0},$ then $\mathbf{a}\,.\,\mathbf{b}+\mathbf{b}\,.\,\mathbf{c}+\mathbf{c}\,.\,\mathbf{a}=$

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• If three points A, B, C are collinear, whose position vectors are $\mathbf{i}-2\mathbf{j}-8\mathbf{k},\,\,5\mathbf{i}-2\mathbf{k}$ and $11\,\mathbf{i}+\,3\,\mathbf{j}+7\mathbf{k}$ respectively, then the ratio in which B divides AC is

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