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If vector a+ vector b=vector c & |vector a|=3|,vector b|=4 ,|vector c|=5.then find between vector a and vector b

If vector a+ vector b=vector c & |vector a|=3|,vector b|=4 ,|vector c|=5.then find between vector a and vector b

Grade:12

1 Answers

Arun
25750 Points
7 years ago

Let the angle b/w them be Q.

Using formula, |c|2 = |a|2 + |b|2 + 2|a||b|cosQ

we get:- 52 = 32 + 42 + 2*4*3*cosQ

0 = 24cosQ

therefore, cosQ = 0 = cos90

thus, Q = 90 degrees

Hope it helps

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