Class 12

Math

Algebra

Vector Algebra

Find the unit vector in the direction of vector $PQ $, where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively.

**Solution: **Solution: $pq =(4−1)i^+(5−2)j^ +(6−3)k^$

=$3i^+3j^ +3k^$

$pq^ =∣pq∣pq $

=$33 3i^+3j^ +3k^ $

=$3 i^ +3 j^ +3 k^ $