science
Grade-11
Easy
Question
Angle between the vectors A= 3i+2j-5k and B=3i+2j+5k
- 60
- 30
- 45
- 90
Hint:
90
The correct answer is: 90
A = 3i + 2j - 5k; B = 3i + 2j + 5k;
A.B = AB cos ø
Cos ø = (A.B) / |AB|
= [(3i + 2j - 5k).(3i + 2j + 5k)] / [√(9+4+25).√(9+4+25)]
= (9+4-25) / (9+4+25) = -12/38 = -0.3157 ≈ 0
Cos ø = 0
Ø = 90°
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