vectors-m

Related Questions

• If a and b are P.V. of two points A and B and C divides AB in ratio 2 : 1, then P.V. of C is

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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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• A force of magnitude 5 units acting along the vector $2i-2j+k$ displaces the point of application from $(1,\,2,\,3)$ to $\mathbf{a}\times \mathbf{b}=\mathbf{b}\times \mathbf{c}\ne \mathbf{0}$, then the work done is

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• If $\mathbf{a}=\mathbf{i}+\mathbf{j}+\mathbf{k},\,\mathbf{b}=\mathbf{i}+3\mathbf{j}+5\mathbf{k}$ and $\mathbf{c}=7\mathbf{i}+9\mathbf{j}+11\mathbf{k}$, then the area of the parallelogram having diagonals a + b and b + c is

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• A unit vector perpendicular to the vector $4\mathbf{i}-\mathbf{j}+3\mathbf{k}$ and $-2\mathbf{i}+\mathbf{j}-2\mathbf{k}$ is

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