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Question

Write a unit vector in the direction of the sum of the vector a=2^i+2^j5^k and b=2^i+^j7^k

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Solution

Here, a=2i+2j5k and b=2i+j7k
a+b=(2i+2j5k)+(2i+j7k)=4i+3j12k
|a+b|=42+32+(12)2=16+9+144=169=13
Therefore, required unit vector = a+b|a+b|=4i+3j12k13

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