Find the vector joining the points P(– 2, – 3, 4) and Q(3, 2, 5) directed from P to Q. Also find the distance between the points.

Asked by Topperlearning User | 13th Aug, 2016, 02:21: AM

Expert Answer:

 Let

stack P Q with rightwards arrow on top equals stack O Q with rightwards arrow on top minus stack O P with rightwards arrow on top
stack P Q with rightwards arrow on top equals 3 i with logical and on top plus 2 j with logical and on top plus 5 k with logical and on top minus left parenthesis negative 2 i with logical and on top minus 3 j with logical and on top plus 4 k with logical and on top right parenthesis
stack P Q with rightwards arrow on top equals 5 i with logical and on top plus 5 j with logical and on top plus k with logical and on top
D i s tan c e space b e t w e e n space t h e space p o i n t s space i s open vertical bar stack P Q with rightwards arrow on top close vertical bar equals square root of 5 squared plus 5 squared plus 1 end root equals square root of 51 u n i t s

 

Answered by  | 13th Aug, 2016, 04:21: AM