explain parallelogram law of addition in vector
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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 ...
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CBSE
Mathematics
Grade 11
Vectors
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State and prove parallelogram law of vector addition and determine the magnitude and direction of the resultant vector.
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Hint: Recall the statement of the parallelogram. 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.