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Question

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors.
a=2^i+3^j^k and b=^i2^j+^k

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Solution

Given two vectors are a=2^i+3^j^k and b=^i2^j+^k
If c is the resultant vector of a and b=(2^i+3^j^k)+(^i2^j+^k)=3^i+^j+0.^k
Now, a vector having magnitude 5 and parallel to c is given by
5c|c|=5(3^i+^j0^k)32+12+02=1510^i+510^j
It is required vector.
[ Note : A vector having magnitude I and parallel to a is given by Ia|a|.]

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