vectors-m

Related Questions

• A particle acted on by two forces $3\mathbf{i}+2\mathbf{j}-3\mathbf{k}$ and $2\mathbf{i}+4\mathbf{j}+2\mathbf{k}$ is displaced from the point $\mathbf{i}+2\mathbf{j}+\mathbf{k}$ to $5\mathbf{i}+4\mathbf{j}+2\mathbf{k}.$ The total work done by the forces is equal to

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• If the vectors $a\mathbf{i}+b\mathbf{j}+c\mathbf{k}$ and $p\mathbf{i}+q\mathbf{j}+r\mathbf{k}$ are perpendicular, then

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• The position vectors of A and B are $\mathbf{i}-\mathbf{j}+2\mathbf{k}$ and $3\mathbf{i}-\mathbf{j}+3\mathbf{k}.$ The position vector of the middle point of the line AB is

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• If the moduli of a and b are equal and angle between them is ${{120}^{o}}$ and $\mathbf{a}\,.\,\mathbf{b}=-\,8,$ then | a | is equal to

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• If in a triangle $\overrightarrow{AB}=\mathbf{a},\,\,\overrightarrow{AC}=\mathbf{b}$ and D, E are the mid-points of AB and AC respectively, then $\overrightarrow{DE}$ is equal to

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