Question

11. (HCV) If Ă = 2î + 3ị + 4k and B = 4î + 3ủ + 2k
the angle between A and B.​

Answer 1

Answer:

Angle Between Vector A and B is Cos⁻¹ (25/29)

Explanation:

Formulas to know

1. Dot Product = axbx + ayby + azbz (multiplication of magnitudes)

2.Dot Product = [AB]Cos ∅

By Formula 1. we get

A.B = (2×4) + (3×3) + (4×2)

A.B = 25    [EQ.1]

By Formula 2. we get

A.B = √(2² + 3² + 4²) × √(2² + 3² + 4²) ×Cos∅

A.B= 29 Cos ∅ [EQ.2]

From EQ.1 AND EQ.2 We get

29 Cos∅ = 25

Cos∅ = 25/29

∅ = Cos⁻¹ (25/29)

Hence angle between Vector A & B is Cos⁻¹ (25/29)