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Q.

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

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a

−2i^+3j^+k^35

b

−i^+2j^+4k^35

c

−i^+5j^−3k^35

d

−3i^+j^−5k^35

answer is C.

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Detailed Solution

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