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bara,barb,barc and bard are the position...

`bara,barb,barc and bard` are the position vectors of four coplanar points such that `(bara-bard).(barb-barc)=(barb-bard).(barc-bara)=0`. Show that the point `bard` represents the orthocentre of the triangle with `bara,barb and barc` as its vertices.

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The correct Answer is:
`pi/3`
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE-2.1 (SHORT ANSWER QUESTIONS)
  1. If bara = 2bari+2barj-3bark, barb=3bari -barj+3bark, " then find the a...

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  2. Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk f...

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  3. bara,barb,barc and bard are the position vectors of four coplanar poin...

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  4. If bara+barb+barc=bar0, absbara=3,absbarb=5 and absbarc=7, " then find...

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  5. If |bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4 and each of bar(a), bar(b...

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  6. bara,barb,barc are three vectors of equal magnitudes and each of them ...

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  7. Find unit vector parallel to the XOY-plane and perpendicular to the ve...

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  8. Let bara =4bari+5barj-bark, barb = bari - 4barj+5bark and c= 3bari +ba...

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  9. If bar(a) = bar(i) + bar(j)+bar(k), bar(b) = 2bar(i) + 3bar(j) + bar(k...

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  10. Let bara = bari+barj+bark and barb =2bari+3barj+bark. Find The vect...

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  11. If P, Q, R and S are points whose position vectors are bari-bark, -bar...

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  12. Find the equation of the plane passing through the point bara =2bari ...

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  13. Find the Cartesian equation of the plane passing through the point (-2...

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

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  15. Find the angle between the planes 2x-3y-6z=5 and 6x+2y-9z = 4.

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  16. Find anle between planes bar(r ).(2bar(i)-bar(j) + 2 bar(k)) = 3, bar(...

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  17. Find the vector equation of the plane passing through the intersection...

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  18. Find the equation of the plane passing through (a,b,c) and parallel to...

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