Last updated at April 21, 2021 by Teachoo

Transcript

Ex 10.2, 16 Find the position vector of the mid point of the vector joining the points P(2, 3, 4) and Q(4, 1, β2). P(2, 3, 4) , Q(4, 1, β2) Let the midpoint of PQ be R. Position vector of P = (2 β 0) π Μ + (3 β 0) π Μ + (4 β 0) π Μ (ππ) β = 2π Μ + 3π Μ + 4π Μ Position vector of Q = (4 β 0) π Μ + (1 β 0) π Μ + (β2 β 0) π Μ (ππ) β = 4π Μ + 1π Μ β 2π Μ Position vector of R = ((πΆπΈ) β + (πΆπ·) β)/π (ππ ) β = ((4π Μ + 1π Μ β 2π Μ ) + (2π Μ + 3π Μ + 4π Μ))/2 (ππ ) β = ((4 + 2) π Μ + (1 + 3) π Μ + (β2 + 4)π Μ)/2 (ππ ) β = (6π Μ + 4π Μ + 2π Μ)/2 (ππ ) β = (2(3π Μ + 2π Μ + π Μ))/2 (ππ ) β = ππ Μ+ππ Μ+π Μ Therefore, position vector of midpoint of PQ is 3π Μ + 2π Μ + π Μ

Ex 10.2

Ex 10.2, 1

Ex 10.2, 2

Ex 10.2, 3 Important

Ex 10.2, 4

Ex 10.2, 5 Important

Ex 10.2, 6

Ex 10.2, 7 Important

Ex 10.2, 8

Ex 10.2, 9

Ex 10.2, 10 Important

Ex 10.2, 11 Important

Ex 10.2, 12

Ex 10.2, 13 Important

Ex 10.2, 14

Ex 10.2, 15 Important

Ex 10.2, 16 You are here

Ex 10.2, 17 Important

Ex 10.2, 18 (MCQ) Important

Ex 10.2, 19 (MCQ) Important

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.