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If the position vectors of three consecu...

If the position vectors of three consecutive vertices of any parallelogram are respectively `vec i+vec j+vec k, vec i +3vec j+ 5vec k, 7vec i +9vec j +11vec k` then the position vector of its fourth vertex is:

A

`6(i+j+k)`

B

`7(i+j+k)`

C

`2j-4k`

D

`6i+8j+10k`

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-EXERCISE (Level-1 Single Correct Answer Type Questions)
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  2. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

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  18. The edges of a parallelopiped are of unit length and are parallel to ...

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  19. If a is a non-zero real number, then prove that the vectors vecalp...

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