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The point of intersection of the line pa...

The point of intersection of the line passing through `bar(i)-2bar(j)-bar(k), 2bar(i)+3bar(j)+bar(k)` and the plane passing through `2bar(i)+bar(j)-3bar(k), 4bar(i)-bar(j)+2bar(k), 3bar(i)+bar(k)`

A

`5/3i+4/3bar(j)+1/3bar(k)`

B

`5/3bar(i)-4/3bar(j)-1/3bar(k)`

C

`5/3bar(i)+4/3bar(j)-1/3bar(k)`

D

`5/3bar(i)-4/3bar(j)+1/3bar(k)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. A point on the line passing through (1, 1, 1) and parallel to (1, -2, ...

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  2. A line passing through the point A(3bar(i)+bar(j)-bar(k)) and parallel...

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  3. The point of intersection of the line passing through bar(i)-2bar(j)-b...

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  4. Statement-I : If two vectors are collinear then those vectors are copl...

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  5. Statement-I : Two non zero, non collinear vectors are linearly indepen...

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  6. The descending order of magnitudes of the vectors A=(i-j)/sqrt(2), B=b...

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  7. If D, E, F are mid points of sides BC, CA, AB of triangle ABC and G is...

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  8. Observe the following statements : Assertion (A) : Three vectors are...

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  9. If the vector bar(a)=2bar(i)+3bar(j)+6bar(k) and bar(b) are collinear ...

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  10. If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) ...

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  11. If the points whose position vectors are 2bar(i)+bar(j)+bar(k), 6bar(i...

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  12. Let bar(b)=bar(i)-2bar(j)+3bar(k), bar(a)=2bar(i)+3bar(j)-bar(k) and b...

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  13. The points whose position vectors are 2bar(i)+3bar(j)+4bar(k), 3bar(i)...

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  14. If bar(i)-2bar(j), 3bar(j)+bar(k), lambdabar(i)+3bar(j) are coplanar t...

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  15. If 3bar(i)+3bar(j)+sqrt(3)bar(k), bar(i)+bar(k), sqrt(3)bar(i)+sqrt(3)...

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  16. If bar(a)=bar(i)+4bar(j), bar(b)=2bar(i)-3bar(j) and bar(c)=5bar(i)+9b...

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  17. If bar(a), bar(b)&bar(c) are non-coplanar vectors and if bar(d) is suc...

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  18. Three non-zero non-collinear vectors bar(a), bar(b), bar(c) are such t...

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  19. The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+ba...

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  20. For three vectors bar(p), bar(q) and bar(r)" if "bar(r)=3bar(p)+4bar(q...

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