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If a, b, c be three non-zero vectors, t...

If a, b, c be three non-zero vectors, then the equation a. b = a. c implies

A

b =c

B

a is orthogonal to both b and c

C

a is orthogonal to b -c

D

Either a is orthogonal to both b and c or a is orthogonal to `b -c`

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The correct Answer is:
A, C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Self Assessment Test (MULTIPLE CHOICE QUESTIONS)
  1. a and b are two non-zero vectors, then ( a + b). (a-b) is equal to

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  2. a.b =0 implies only

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  3. If a, b, c be three non-zero vectors, then the equation a. b = a. c ...

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  4. If a and b include an angle of 120^(@) and their magnitudes are 2 and ...

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  5. If [I, j, k] be a set of orthogonal unit vectors, then fill up the bla...

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  6. If theta be the angle between the vectors 4(i-k) and i+j+k, then theta...

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  7. If theta be the angle between the vectors i+jandj+k, then theta is

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  8. The angle between the vectors 2i+3j+k and 2i-j-k is

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  9. If a and b are two unit vectors, then a xx b is a unit vector if ........

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  10. If [ i,j,k] be orthogonal set of unit vectors, then fill in the blanks...

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  11. [abc] is the scalar triple product of three vectors a, b and c then [a...

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  12. If theta is the angle between vectors a and b, then |a xx b| = | a.b|,...

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  13. a xx (b xx c) is equal to

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  14. u = a xx (b xx c) + b xx (c xx a) + c xx (a xxb) then

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  15. If a = 4i + 2j-5k, b =-12i-6j+15k, then the vectors a, b are

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  16. If the position vector of three points are a - 2b + 3c, 2a + 3b - 4c, ...

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  17. If a + b + c = 0, |a| = 3, |b| = 5, |c| = 7, then the angle between a ...

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  18. If the vectors a,b,c satisfy the condition a+b+c =0, the value of a.b ...

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  19. If veca , vecb , vec c are any three coplanar unit vectors , then :

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  20. If a.b = a.c and veca xx vecb =veca xx vecc, then

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