The points A and B have co-ordinate (1,2,4) and (−1,3,5) respectively. Find AB and its magnitude.

Engineering

Mathematics

Vector Addition and Subtraction

Distance from a Plane

Question

The points A and B have co-ordinate (1,2,4) and (−1,3,5) respectively. Find AB and its magnitude.

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

A = (1, 2, 3)
B = (−1, 3, 5)
A = i + 2j + 3k
B = −i + 3j + 5k
AB = B − A
AB = (−i + 3j + 5k) − (i + 2j + 3k)
AB = −2i + j + 2k
$AB = \sqrt{(- 2)^{2} + (1)^{2} + (2)^{2}} = \sqrt{9} = 3$