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Use Eqs. 11-3 and 11 -5 to calculate the angle between the two vectors and

Use Eqs. 11-3 and 11 -5 to calculate the angle between the two vectors and

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
8 years ago
232-2414_1.PNG
By using equation (1),
a . b = (3 i + 3 j+ 3 k). (2 i + j+ 3 k)
= (3×2) + (3×1) +(3×3)
=6+3+9
=18 …… (3)
By using equation (2),
a . b = (5.19) (3.74) cos ?
So, cos ? = a . b/(5.19) (3.74)
Φ = cos [a . b/(5.19) (3.74)] …… (4)
To find out the angle between a and b, substitute 18 for a . b in the equation (4) we get,
Φ = cos [a . b/(5.19) (3.74)]
= cos [18/(5.19) (3.74)]
= 22.0° …… (5)
From equation (5) we observed that, the angle between a and b will be 22.0°.

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