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Questions  

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

a
−2i^+3j^+k^35
b
−i^+2j^+4k^35
c
−i^+5j^−3k^35
d
−3i^+j^−5k^35

detailed solution

Correct option is C

Here, A→ = −2i^+3j^+k^B→ = i^+2j^−4k^The resultant vector of A→ and  B→ isR→ = A→ +  B→ = (2i^+3j^+k^)+(i^+2j^−4k^)=  −i^+5j^−3k^|R→|  = (-1)2+(5)2+(-3)2= 1+25+9 = 35Unit vector in the direction of resultant vector of A→ and B→ isR^ = R→|R→| = −i^+5j^−3k^35

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