Grade 11Vectors
If |A| = |B| = |A+B|, then the angle between vectors A ad B is????
If |A| = |B| = |A+B|, then the angle between vectors A ad B is????
3 Answers
Vikas TU
|B| = |A+B|
squaring both sides,
squaring both sides,
|B|^2 = |A|^2 + |B|^2 + 2A.B
|A|^2 + 2A.B = 0
A.B = -|A|^2/2 = -|B|^2/2................(1)
Angle b/w A and B vectors = >
cos@ = A.B/|A|^2 = -|A|^2/2*|A|^2 = -1/2 { From eqn. (1)
@ = 120 degree.
Biswajeet Behera
If |A+B| and |A| and |B| are the sides of a triangle then the form a equilateral triangle and angles are 60degrees each angle will form 120 degrees according to triangle law.
Kushagra Madhukar
Dear student,
Please find the answer to your question.
|B| = |A+B|
squaring both sides,
|B|^2 = |A|^2 + |B|^2 + 2A.B
|A|^2 + 2A.B = 0
A.B = -|A|^2/2 = -|B|^2/2................(1)
Angle b/w A and B vectors = >
cos@ = A.B/|A|^2 = -|A|^2/2*|A|^2 = -1/2 { From eqn. (1)
@ = 120 degree.
Thank and regards,
Kushagra
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