A unit vector in the direction of resultant vector of →A = -2^i+3^j+^k and →B = ^i+2^j-4^k is
-^i+5^j-3^k/ √35
-3^i +^j+5^k /√35
-2^i+3^j+^k/√35
^i+2^j-4^k/√35
A
-2^i+3^j+^k/√35
B
-^i+5^j-3^k/ √35
C
-3^i +^j+5^k /√35
D
^i+2^j-4^k/√35
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Solution
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Here,→A=−2^i+3^j+^k
→B=^i+2^j−4^k
The resultant vector of →A and →B is →R = →A + →B
∴→R=(−2^i+3^j+^k)+(^i+2^j−4^k)=−^i+5^j−3^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^j−3^k√35
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