vectors-m

Related Questions

• P is a point on the side BC of the $\Delta \,ABC$ and Q is a point such that $\overrightarrow{PQ}$ is the resultant of $\overrightarrow{AP},\,\overrightarrow{PB},\,\overrightarrow{PC}.$ Then ABQC is a

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• If three points A, B, C are collinear, whose position vectors are $\mathbf{i}-2\mathbf{j}-8\mathbf{k},\,\,5\mathbf{i}-2\mathbf{k}$ and $11\,\mathbf{i}+\,3\,\mathbf{j}+7\mathbf{k}$ respectively, then the ratio in which B divides AC is

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• If the position vectors of the points A, B, C, D be $2\mathbf{i}+3\mathbf{j}+5\mathbf{k},$ $\mathbf{i}+2\mathbf{j}+3\mathbf{k},\,\,-5\mathbf{i}+4\mathbf{j}-2\mathbf{k}$ and $\mathbf{i}+10\mathbf{j}+10\mathbf{k}$ respectively, then

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• If $\mathbf{a}=2\mathbf{i}+4\mathbf{j}-5\mathbf{k}$ and $\mathbf{b}=\mathbf{i}+2\mathbf{j}+3\mathbf{k}$, then $|\mathbf{a}\times \mathbf{b}|$ is

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• The value of x for which the angle between the vectors $\mathbf{a}=-\,3\mathbf{i}+x\mathbf{j}+\mathbf{k}$ and $\mathbf{b}=x\mathbf{i}+2x\mathbf{j}+\mathbf{k}$ is acute and the angle between b and x-axis lies between $\pi /2$ and $\pi $satisfy

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