Ex 10.2, 8 - Chapter 10 Class 12 Vector Algebra

Transcript

Ex 10.2, 8 Find the unit vector in the direction of vector , where P and Q are the points (1, 2, 3) and (4, 5, 6); respectively. P (1, 2, 3) Q (4, 5, 6) = (4 1) + (5 2) + (6 3) = 3 + 3 + 3 Vector joining P and Q is given by = 3 + 3 + 3 Magnitude of = 32+32+32 = 9+9+9 = 27 = 3 3 Unit vector in direction of = 1 = 1 3 3 3 i + 3 j + 3 k = 3 3 3 + 3 3 3 + 3 3 3 = + + Thus, unit vector in direction of = 1 3 + 1 3 + 1 3