The angle between the vector I+j and j+k is
Answers
Answered by
198
Let angle between ( i + j ) and ( j + k )
cos∅ = ( i + j ).( j + k )/|i + j| .| j + k |
|i + j | = √(1² + 1² ) = √2
|j + k | = √(1² + 1²) = √2
cos∅ = 1/√2.√2
= 1/2
cos∅ = cos60°
∅ = 60°
cos∅ = ( i + j ).( j + k )/|i + j| .| j + k |
|i + j | = √(1² + 1² ) = √2
|j + k | = √(1² + 1²) = √2
cos∅ = 1/√2.√2
= 1/2
cos∅ = cos60°
∅ = 60°
Answered by
61
Answer:
60°
Explanation:
According to dot product:
(i+j). (j+k) = magnitude of first vector x magnitude of second vector x cos theta
0+1+0 = root2 x root2 x cos theta
1=2cos theta
cos theta =1/2
theta=60°
Hope it helps..
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