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Let vec( a) = 2 hat(i) - 3 hat(j) + 4 ha...

Let `vec( a) = 2 hat(i) - 3 hat(j) + 4 hat(k)` and `vec( b) = 7 hat(i) + hat(j) - 6 hat(k)` . If `vec( r ) xx vec( a) = vec( r ) xx vec( b) , vec( r ) . ( hat(i) +2 hat(j) + hat(k)) = -3`, then `vec ( r ). ( 2 hat(i)- 3hat(j) + hat(k))` is equal to `:`

A

13

B

10

C

12

D

8

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION A)
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  2. Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 ...

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  3. Let vec( a) = 2 hat(i) - 3 hat(j) + 4 hat(k) and vec( b) = 7 hat(i) + ...

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  12. Let f: R to R be a function defined as f(x)={(,(sin (a+1)x+sin 2x)/...

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  13. Let S1 be the sum of first 2n terms of an arithmetic progression. Let ...

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  14. Let in a series of 2n observations, half of them are equal to a and re...

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  15. Let veca and vecb be two non-zero vectors perpendicular to each other ...

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  16. Let a complex number be w=1-sqrt3I, Let another complex number z be su...

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  17. Consider a hyperbola H : x^(2)-2y^(2) =4. Let the tangent at a point P...

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  19. Let the centroid of an equilateral triangle ABC be at the origin. Let...

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