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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• $\mathbf{r}\times \mathbf{a}=\mathbf{b}\times \mathbf{a};\,\,\mathbf{r}\times \mathbf{b}=\mathbf{a}\times \mathbf{b};\,\,\mathbf{a}\ne 0;\,\,\mathbf{b}\ne 0;\,\,\mathbf{a}\ne \lambda \mathbf{b},\,\,$a is not perpendicular to b, then $\mathbf{r}=$

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• If a and b are two non-zero vectors, then the component of b along a is

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• If G and G' be the centroids of the triangles ABC and $A'B'C'$ respectively, then $\overrightarrow{AA}'+\overrightarrow{BB'}+\overrightarrow{CC}'=$

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• The position vectors of P and Q are $5\mathbf{i}+4\mathbf{j}+a\mathbf{k}$ and $-\mathbf{i}+2\mathbf{j}-2\mathbf{k}$ respectively. If the distance between them is 7, then the value of a will be

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