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The triangle ABC is defined by the verti...

The triangle ABC is defined by the vertices A =(0,7,10), B = (-1,6,6) and C = (-4,9,6) Let D be the foot of the altitude from B to the side AC. Then `bar(BD)` is

A

`bari+2barj+2bark`

B

`-bari+2barj+2bark`

C

`2bari+barj+bark`

D

`2bari-barj-bark`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. If barb=4bari+3barj and barc be two perpendicular vectors in xy-plane....

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  2. Let bara = 2bari -barj+bark , barb=bari+2barj-bark , barc=bari+barj-2b...

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  3. The triangle ABC is defined by the vertices A =(0,7,10), B = (-1,6,6) ...

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  4. In the Parallelogram ABCD, bar(AC)^(2)-bar(BD)^(2) =

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  5. The bot r bisecting plane of the line segment joining the points (3,1,...

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  6. The vector equation of the plane which contains the point (1,1,8) and ...

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  7. The perpendicular distance from origin to the plane passing through th...

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  8. Find the cartesian equation of the plane through the point A (2,-1,-4)...

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  9. The cartesian equation of the plane passing through (1,1,1) and contai...

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  10. The vector equation of the plane through the point (1,1,-1) and passin...

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  11. Let A = (bari-barj+3bark), B=(3bari+3barj+3bark) " be two points and "...

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  12. Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark)...

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  13. If 3bari+4barj+5bark is P.V. of one end of a diameter of the sphere a...

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  14. The force barF = 2bari+2barj-bark " acting at " bara =bari-2barj+bark ...

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  15. A particle is acted upon by constant forces 4bari+barj-3bark and 3bari...

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  16. Three forces having magnitudes 5,4 and 3 units act on a particle in th...

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  17. Which of the following statements is are correct Statement -I : For ...

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  18. If bar a and bar b are two unit vectors inclined at an angle alpha to ...

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  19. Assertion (A) : bara,barb,barc and bard are the position vectors of fo...

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  20. If a,b and c are vectors with magnitudes 2,3 and 4 respectively then t...

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