vectors-m

Related Questions

• A force $\mathbf{F}=2\mathbf{i}+\mathbf{j}-\mathbf{k}$ acts at a point A, whose position vector is $2\mathbf{i}-\mathbf{j}$. The moment of F about the origin is

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• If ABCD is a parallelogram, $\overrightarrow{AB}=2\,\mathbf{i}+4\,\mathbf{j}-5\,\mathbf{k}$ and $\overrightarrow{AD}=\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},$ then the unit vector in the direction of BD is

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• The area of the parallelogram whose diagonals are the vectors $2\mathbf{a}-\mathbf{b}$ and $4\mathbf{a}-5\mathbf{b},$ where a and b are the unit vectors forming an angle of ${{45}^{o}},$ is

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• A unit vector perpendicular to each of the vector $2\mathbf{i}-\mathbf{j}+\mathbf{k}$ and $3\mathbf{i}+4\mathbf{j}-\mathbf{k}$ is equal to

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• If the vectors $3\,\mathbf{i}+2\,\mathbf{j}-\mathbf{k}$ and $6\,\mathbf{i}-4x\mathbf{j}+y\mathbf{k}$ are parallel, then the value of x and y will be

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