vectors-m

Related Questions

• If $\theta$ be the angle between two vectors a and b, then $\mathbf{a}.\mathbf{b}$ $\ge 0$ if

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• A and B are two points. The position vector of A is $6\mathbf{b}-2\mathbf{a}.$ A point P divides the line AB in the ratio 1 : 2. If $\mathbf{a}-\mathbf{b}$ is the position vector of P, then the position vector of B is given by

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• Let $\mathbf{a},\,\mathbf{b},\,\mathbf{c}$ be three vectors such that $\mathbf{a}\ne 0,$ and $\mathbf{a}\times \mathbf{b}=2\mathbf{a}\times \mathbf{c},\,\,|\mathbf{a}|\,=\,|\mathbf{c}|\,=\,1,\,|\mathbf{b}|\,=4$ and $|\mathbf{b}\times \mathbf{c}|\,=15.$ If $\mathbf{b}-2\mathbf{c}=\lambda \mathbf{a},$ then $\lambda$ equals 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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• The unit vector perpendicular to the vectors $6\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ and $3\mathbf{i}-6\mathbf{j}-2\mathbf{k},$ is

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