vectors-m

Related Questions

• The projection of vector $2\mathbf{i}+3\mathbf{j}-2\mathbf{k}$ on the vector $\mathbf{i}+2\mathbf{j}+3\mathbf{k}$ will be

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• A unit vector in the plane of the vectors $2\mathbf{i}+\mathbf{j}+\mathbf{k},\,$ $\,\mathbf{i}-\mathbf{j}+\mathbf{k}$ and orthogonal to $5\mathbf{i}+2\mathbf{j}+6\mathbf{k}$ is

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• If three points A, B and C have position vectors $(1,\,x,\,3),\,\,(3,\,4,\,7)$ and $ap+bq+cr=1$ respectively and if they are collinear, then $(x,\,y)=$

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• If the vector $\mathbf{i}+\mathbf{j}+\mathbf{k}$ makes angles $\alpha ,\,\beta ,\,\gamma $with vectors $\mathbf{i},\,\mathbf{j},\mathbf{k}$respectively, then

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• The area of the parallelogram whose diagonals are $\frac{3}{2}\mathbf{i}+\frac{1}{2}\mathbf{j}-\mathbf{k}$ and $2\mathbf{i}-6\mathbf{j}+8\mathbf{k}$ is

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