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Q.

If A→  = 2i^+3j^−k^   and   B→ = −i^+3j^+4k^  then  projection  of A→ on  B→  will  be

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a

313

b

326

c

326

d

313

answer is B.

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Detailed Solution

|A→| = 22+32+(-1)2=4+9+1  =  14|B→| = (-1)2+32+42 = 1+9+16  = 26A.→B→ = 2(−1)+3×3+(−1)(4)   =  3The projection of A→ on  B→  =  A→.B→|B→| = 326
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