vectors-m

Related Questions

• 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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• A force of magnitude 6 acts along the vector $(9,\,6,\,-2)$ and passes through a point A (4, – 1, –7). The moment of the force about the point O (1, – 3, 2) is

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• If a and b are two non-collinear vectors and $x\,\mathbf{a}+y\,\mathbf{b}=0$

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• If a, b and c be three non-zero vectors, no two of which are collinear. If the vector $\mathbf{a}+2\mathbf{b}$ is collinear with c and $\mathbf{b}+3\mathbf{c}$ is collinear with a, then ($\lambda $ being some non-zero scalar) $\mathbf{a}+2\mathbf{b}+6\mathbf{c}$ is equal to

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• If $\mathbf{a}=\mathbf{i}-\mathbf{j},\mathbf{b}=\mathbf{i}+\mathbf{j},\,\,\,\mathbf{c}=\mathbf{i}+3\mathbf{j}+5\mathbf{k}$and$\mathbf{n}$is a unit vector such that $\mathbf{b}.\mathbf{n}=0,\mathbf{a}.\mathbf{n}=0$then the value of $|\mathbf{c}\ .\ \mathbf{n}|$ is equal to

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