Question
In the parallelogram law of vectors, the cos angle denoted
- Direction
- Magnitude
- Angle between the vectors
- None of the above
Hint:
The correct answer is: Angle between the vectors
- According to the parallelogram law of vector addition, if two vectors act along two adjacent sides of a parallelogram(having magnitude equal to the length of the sides) both pointing away from the common vertex, then the resultant is represented by the diagonal of the parallelogram passing through the same common vertex and in the same sense as the two vectors. Using triangle law of vector addition proves the parallelogram law of vector addition. Also, find the magnitude of the resultant vector using cosine law.
- Where u and v are magnitudes of the vectors.
- Hence cos is the angle between vectors.
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