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The ratio in which 3bar(i)+4bar(j)+7bar(...

The ratio in which `3bar(i)+4bar(j)+7bar(k)` divides the join of `bar(i)+2bar(j)+3bar(k) and -3bar(i)-2bar(j)-5bar(k)` is

A

`-1:3`

B

`1:2`

C

`1:3`

D

`3:1`

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Verified by Experts

The correct Answer is:
A
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AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
  1. If A=(1, 1, 1), B=(1, 2, 3), C=(2, -1, 1) be the vertices of a DeltaAB...

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  2. If A is the point bar(a)+2bar(b), P is the point bar(a) and P devides ...

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  3. The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+...

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  4. In a DeltaOAB, E is the mid point of OB and D is a point in AB such th...

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  5. If 2bar(i)+3bar(j)+5bar(k), 2bar(i)+4bar(j)+5bar(k) and 2bar(i)+4bar(j...

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  6. The P.V.'s of A, B, C are bar(i)+bar(j)+bar(k), 4bar(i)+bar(j)+bar(k),...

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  7. In a DeltaABC, P.V.'s of A, mid-point of BC are bar(i)+2bar(j)+3bar(k)...

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  8. If G is the centroid of DeltaABC then bar(GA)+bar(GB)+bar(GC)=

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  9. If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...

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  10. If D, E are the midpoints of AB, AC of Delta ABC, then vec(B)E + vec(D...

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  11. If D is the midpoint of the side BC of a triangle ABC then bar(AB)^(2)...

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  12. Find the area of the parallelogram whose adjacent sides are bar(a) = 2...

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  13. If the diagonals of a parallelogram are bar(i)+5bar(j)-2bar(k) and -2b...

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  14. Let bar(a), bar(b), bar(c), bar(d) be the position vectors of A, B, C ...

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  15. If bar(a), bar(b) represent bar(AB), bar(BC) respectively of a regular...

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  16. When a right handed rectangular cartesian system oxyz is rotated about...

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  17. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

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  18. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

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  19. The vector equation to the line through the point (2, 3, 1) and parall...

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  20. Find the vector equation of the line passing through the points 2bar(i...

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