For points and in three-dimensional space

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

For points P(3,−2,5)P(3,-2,5) and Q(−1,4,0)Q(-1,4,0) in three-dimensional space, answer the following: (a) Part 1: (i) Define the position vector of a point and state its usual notation. (b) Part 2: (ii) Explain, with reason, whether the vectors PQ⃗\vec{PQ} and QP⃗\vec{QP} are equal. (c) Part 3: (iii) Write the vectors OP⃗\vec{OP} and PQ⃗\vec{PQ} in i^, j^, k^\hat{i},\,\hat{j},\,\hat{k} form and list their individual components.

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