Question

Find a unit vector in the direction from point P (1,-1, 2) to point Q(-1, 1, 1).

Answer 1

$\huge{\underline{\bold{Answer:-}}}$

PQ(cap) = $(\dfrac{-2}{5}, \dfrac{2}{5}, \dfrac{-1}{5})$

$\huge{\underline{\bold{Explanation:-}}}$

Given

P(1,-1,2) and Q(-1,1,1) are the two points

To Find:

Unit vector in the direction from point P to Q

Solution

The vector is

PQ = [(-1-1), (1+1), (1-2)]

PQ = (-2,2,-1)

Magnitude of the vector is

|PQ| = $\sqrt{({-2})^{2}+({2})^{2}+({-1})^{2}}$

|PQ| = $\sqrt{4+4+1}$

|PQ| = $\sqrt{9}$

|PQ| = 3

The unit vector is

PQ(cap) = $\dfrac{PQ}{|PQ|}$

PQ(cap) = $\dfrac{(-2,2,-1)}{5}$

PQ(cap) = $(\dfrac{-2}{5}, \dfrac{2}{5}, \dfrac{-1}{5})$

Answer 2

Step-by-step explanation:

answer ,☝️☝️☝️