Let a=2i-3j+4k ,b=7i+2j-3k ,c=i+j+k. The vector x such that x ,c=60 and perpendicular to both a ,b is

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Correct answer: B. (b) Given, a=2i-3j+4k ,b=7i+2j-3k ,c=i+j+k Since, vector x is perpendicular to both vectors a and b. ∴ x= (a b )= (ijk2-3472-3)= (i+34j+25k ) Now, we have x .c=60 ⇒ ( i+34 j+25 k ) (i+j+k )=60 ( ,34 ,25 ) (1 ,1 ,1 )=60 ⇒ +34 +25 =60 ⇒60 =60 ⇒ =1 ∴x=i+34j+25k

$Let a = 2 i - 3 j + 4 k, b = 7 i + 2 j - 3 k, c = i + j + k . The vector x such that x, c = 60 and perpendicular to both a, b is$

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