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Question

A unit vector in the direction of resultant vector of
A = -2^i+3^j+^k and B = ^i+2^j-4^k is

A
-2^i+3^j+^k/35
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B
^i+2^j-4^k/35
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C
-^i+5^j-3^k/ 35
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D
-3^i +^j+5^k /35
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Solution

The correct option is A -^i+5^j-3^k/ 35
Here,A=2^i+3^j+^k

B=^i+2^j4^k

The resultant vector of A and B is R = A + B

R=(2^i+3^j+^k)+(^i+2^j4^k)=^i+5^j3^k

R = (1)2+(5)2+(3)2=1+25+9=35

Unit vector in the direction of resultant vector of A and B is R =R/|R|= ^i+5^j3^k35

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