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Question

The X & Y components of vector A have numerical values 6 each & that of (A+B) have numerical values 10 and 9 What is the numerical value of B ?

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is D 5
we know that, any vector R is represented as
R=x^i+y^j+z^k
we have
A=6^i+6^j
and A+B=10^i+9^j
(A+B)A=(10^i+9^j)(6^i+6^j)
B=4^i+3^j
|B|=42+32
|B|=5


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