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If l,j,k are the usual three perpendicul...

If l,j,k are the usual three perpendicular unit vectors then the value of i.(j x k)+j.(i x k)+k.(i x j) is

A

0

B

1

C

2

D

3

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B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. Let a =i-j,b=j-k,c=k-i. If d is a unit vector such that a.d =0 = [vecb...

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  2. x,y,z are distinct scalars such that [xa+yb+zc, xb+yc+za, xc+ya+zb] =0...

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  3. If l,j,k are the usual three perpendicular unit vectors then the val...

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  4. Write the value of hat idot( hat jxx hat k)+ hat jdot( hat kxx hat i)...

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  5. If a =i+j-k,b=i-j+k andc=i-j-k then axx(bxxc) =

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  6. If a,b,c be three non-coplanar vectors, then (i) [a-b,b-c,c-a]=

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  7. If A, B, C are three points with position vectors i+j,i-j and p.i+qj+...

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  8. If a = i +j + k, b = 4i + 3j + 4k and c = i + alphaj + betak are linea...

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  9. If a.b = b.c = c.a = 0, then a.(bxxc)=

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  10. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

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  11. If x=3i-6j-k, y=i+4j-3k" and "z=3i-4j-12k, then the magnitude of the p...

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  12. IF a,b,c are non-coplanar vectors, then |{:(a.a,,a.b.,,a.c),(b.a,,b....

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  13. a,b,c are unit vectors such that aand b are mutualy perpendicular and ...

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  14. If a,b and c are three non-coplanar vectors, then the scalar product o...

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  15. If a, b and c are non-zero vectors such that a times b=c, b times c=a ...

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  16. a =2i-j+k, b=i+2j-3k, c=3i+lambdaj+5k and if these vectors be coplanar...

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  17. The position vectors of the points A,B,C,D are vec(3i)-vec(2j)-veck, v...

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  18. The value of lambda for which the points L(1,0,3), M(-1,3,4),N(1,2,1) ...

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  19. If veca lies in the plane of vectors vecb and vecc, then which of the ...

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  20. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

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