Question

The $(x, y, z)$ coordinates of two points $A$ and $B$ are given respectively as $(0, 3,-1)$ and $(-2, 6, 4)$. The displacement vector form $A$ to $B$ may be given by:

• A. $-2 \hat{i}+6 j+4 \hat{k}$
• B. $-2 \hat{i}+3 j+3 \hat{k}$
• C. $-2 \hat{i}+3 j+5 \hat{k}$
• D. $2 \hat{i} - 3 j - 5 \hat{k}$

Answer 1

The Correct Option is C

The correct option is(C): \(=-2 \hat{ i }+3 \hat{ j }+5 \hat{ k }.\)

The displacement vector from
\(A \equiv(0,3,-1) \text { to } B \equiv(-2,6,4)\) is 
\(=(-2 \hat{ i }+6 \hat{ j }+4 \hat{ k })-(3 \hat{ j }-\hat{ k })\)
\(=-2 \hat{ i }+3 \hat{ j }+5 \hat{ k }\)