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If bar(r)=3bar(p)+4bar(q)" and "2bar(r)=...

If `bar(r)=3bar(p)+4bar(q)" and "2bar(r)=bar(p)-3bar(q)` then

A

`bar(r), bar(q)` have same direction and `abs(bar(r)) lt 2" "abs(bar(q))`

B

`bar(r), bar(q)` have opposite direction and `abs(bar(r)) gt 2" "abs(bar(q))`

C

`bar(r), bar(q)` have opposite direction and `abs(bar(r)) lt 2" "abs(bar(q))`

D

`bar(r), bar(q)` have same direction and `abs(bar(r)) gt 2" "abs(bar(q))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. If OABC, OCDE, OEFA are adjacent faces of a cube OABCDEF then bar(OB)+...

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  2. If I is the centre of a circle inscribed in a DeltaABC, then abs(bar(B...

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  3. If bar(r)=3bar(p)+4bar(q)" and "2bar(r)=bar(p)-3bar(q) then

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  4. If bar(e)=lbar(i)+mbar(j)+nbar(k) is a unit vector then maximum value ...

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  5. If l, m, n are d.c's of vector bar(OP) then maximum value of lmn is

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  6. A vector bar(a) has components a(1), a(2), a(3) in the right handed sy...

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  7. A vector bar(a) has components 2p and 1 w.r.t a rectangular cartesian ...

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  8. In a DeltaOAB The P.V.'s of A, B are bar(a), bar(b) respectively. The ...

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  9. The position vectors A, B are bar(a), bar(b) respectively. The positio...

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  10. If bar(a), bar(b), bar(c) are the position vectors of the vertices A, ...

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  11. The equation to the altitude of the triangle formed by (1, 1, 1), (1, ...

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  12. If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3...

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  13. If the position vectors of A, B, C, D are 3bar(i)+2bar(j)+bar(k), 4bar...

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  14. The lineas r = (6 - 6s) a + (4s - 4) b + (4 - 8s) c and r = (2t - 1) a...

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  15. A point on the line passing through (1, 1, 1) and parallel to (1, -2, ...

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

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

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

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

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

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