vectors-m

Related Questions

• The sine of the angle between the two vectors $3\mathbf{i}+2\mathbf{j}-\mathbf{k}$ and $12\mathbf{i}+5\mathbf{j}-5\mathbf{k}$ will be

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• If $|\mathbf{a}|\,=3,\,\,|\mathbf{b}|\,=4,\,\,|\mathbf{c}|\,=\,\,5$ and $\mathbf{a}+\mathbf{b}+\mathbf{c}=0,$ then the angle between a and b is

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• The vectors $2\,\mathbf{i}+3\,\mathbf{j}-4\,\mathbf{k}$ and $a\,\mathbf{i}+b\,\mathbf{j}+c\,\mathbf{k}$ are perpendicular, when

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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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• The vectors $\overrightarrow{AB}=3\mathbf{i}+4\mathbf{k},$ and $\overrightarrow{AC}=5\mathbf{i}-2\mathbf{j}+4\mathbf{k}$ are the sides of a triangle ABC. The length of the median through A is

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