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JEE Main20245 Apr 2024Morning ShiftMathematicsVector AlgebraActual

Let a = i -3 j +7 k , b =2 i - j + k and c be a vector such that ( a +2 b ) c =3( c a ) . If a c =130 , then b c is equal to _______

Correct answer

0

Step-by-step solution

aligned & ( a +2 b ) c =3( c a ) & (2 b +4 a ) c =0 & c = (4 a +2 b )= (8 i -14 j +30 k ) & a c =130 & 8 +42 +210 =130 & = 1 2 & c =4 i -7 j +15 k & b c =8+7+15=30 aligned

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