The position vector of a point is

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

The position vector of a point PP is r=xi^+yj^+zk^\mathbf r=x\hat{i}+y\hat{j}+z\hat{k}, where x,y,z∈Nx,y,z\in\mathbb N, and a=i^+2j^+k^\mathbf a=\hat{i}+2\hat{j}+\hat{k}. If r⋅a=20\mathbf r\cdot\mathbf a=20, then the number of possible positions of PP is (1) 81 (2) 49 (3) 100 (4) 36

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