Question

find the vector A and it's magnitude with initial point P (1,2,-1) and terminal point Q (3,2,2)

Answer 1

here is your achievement

Answer 2

Answer:

The vector A is $\vec{A}=2\hat{i}+0\hat{j}+3\hat{k}$ and its magnitude is √13.

Explanation:

Given that,

Initial point P = (1,2,-1)

Terminal point Q = (3,2,2)

The vector A and it's magnitude with initial point P and terminal point Q .

The vector A is

$\vec{A}=Q-P$

$\vec{A}=(3-1)\hat{i}+(2-2)\hat{j}+(2+1)\hat{k}$

$\vec{A}=2\hat{i}+0\hat{j}+3\hat{k}$

The magnitude of the vector A

$|\vec{A}|=\sqrt{2^2+0^2+3^2}$

$|\vec{A}|=\sqrt{13}$

Hence, The vector A is $\vec{A}=2\hat{i}+0\hat{j}+3\hat{k}$ and its magnitude is √13.