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The vectors (x,x+1,x+2),(x+3,x+3,x+5) an...

The vectors `(x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8)` are coplanar for (A) all values of x (B) `xlt0` (C) `xgt0` (D) none of these

A

only finite number of values of x

B

`x lt 0`

C

Only x = z

D

none of these

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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-EXERCISE (Level-1 Single Correct Answer Type Questions)
  1. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

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  2. The volume of the tetrahedron whose vertices are the points with posit...

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  3. The vectors (x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8) are coplanar f...

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  4. A vector oflength sqrt7 which is perpendicul to 2bar j -bar k and -ba...

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  5. Let abs(a)=abs(b)=2" and "p=a+b, q=a-b. If abs(p times q)=2(k-(a.b)^(2...

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

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  7. If the position vectors of three consecutive vertices of any parallelo...

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  8. The volume of the parallelopiped whose sides are given by overset(...

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  9. The value of abs(a times i)^(2)+abs(a times j)^(2)+abs(a times k)^(2) ...

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  10. If a, b and c are any three vectors, then a times (b times c)=(a times...

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  11. ixx(a times i)+j times(a times j)+k times(a times k) is always equal t...

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  12. The value of [a times b, b times c, c times a] is

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  13. Given vectors a = (3, -1, 5) and b = (1, 2, -3). A vector c which is p...

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  14. Area of the parallelogram on the vectors a + 3b and 3a + b if abs(a)=a...

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  15. If a=x""i+5j+7k, b=i+j-k, c=i+2j+2k are coplanar then the value of x i...

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  16. If a*(b times c)=3 then

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  17. Let a=2i+2j+k and b be another vector such that a*b=14" and "a times b...

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  18. ABCDEF is a regular hexagon with centre a the origin such that vec(AB)...

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  19. A non zero vector veca is parallel to the kine of intersection of the ...

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  20. Let P ,Q ,R and S be the points on the plane with position vectors ...

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