vectors-m

Related Questions

• 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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• If the vectors $a\,\mathbf{i}-2\mathbf{j}+3\mathbf{k}$ and $3\mathbf{i}+6\mathbf{j}-5\mathbf{k}$ are perpendicular to each other, then a is given by

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• The position vector of the points which divides internally in the ratio 2 : 3 the join of the points $2\mathbf{a}-3\mathbf{b}$ and $3\mathbf{a}-2\mathbf{b},$ is

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• If position vectors of a point A is $\vec{a} + 2\vec{b}$ and $\vec{a}$ divides AB in the ratio $2:3$ , then the position vector of B is

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• If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that

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