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If bar(a), bar(b), bar(c ) are P.V's of ...

If `bar(a), bar(b), bar(c )` are P.V's of the vertices A,B,C respectively of `DeltaABC` then find the vector equation of the median through the vertex A.

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The correct Answer is:
`bar(r ) = (1-t)bar(a)+t 1/2(bar(b)-bar(c )) , t in R`
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In Delta ABC, if bar(a), bar(b), bar(c) are position vectors of the vertices A, B, and C respectively, then prove that the position vector of the centroid G is (1)/(3) (bar(a) + bar(b) + bar(c))

If bar(a), bar(b), bar(c ) respresents the vertices A, B, and C respectively of DeltaABC then prove that |(bar(a) xx bar(b)) + (bar(b) xx bar(c ))+ (bar(c ) xx bar(a))| is twice the area of DeltaABC .

If 2bar(i)-bar(j)+bar(k), bar(i)-3bar(j)-5bar(k), 3bar(i)-4bar(j)-4bar(k) are the vertices of a triangle then the vector equation of the median passing through 2bar(i)-bar(j)+bar(k) is

If bar(a), bar(b), bar(c) are three non-coplanar vectors, then the vector equation bar(r)=(1-p-q)bar(a)+pbar(b)+qbar(c) represents

If bar(a), bar(b), bar(c) are noncoplanar, find the point of intersection of the line passing through the points 2bar(a)+3bar(b)-bar(c), 3bar(a)+4bar(b)-2bar(c) with the line joining the points bar(a)-2bar(b)+3bar(c) and bar(a)-6bar(b)+6bar(c) .

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Addition of vectors)
  1. Show that the points whose P,V are -2bar(a)+3bar(b)+5bar(c ), bar(a)+2...

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  2. If bar(OA) = bar(i) + bar(j)+ bar(k), bar(AB) = 3bar(i)-2bar(j)+bar(k)...

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  3. Find the vectore equation of the line passing through the point 2bar(i...

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

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  5. OABC is a parallelogram. If bar(OA) = bar(a),bar(OC) = bar(c ) find th...

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  6. Find the vector equation of the plane passing through the points bar(i...

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  7. Let bar(a)=bar(i)+2bar(j)+3bar(k)andbar(b)=3bar(i)+bar(j). . Find a ...

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  8. Find a vector in the direction of vector bar(a) = bar(i) - 2bar(j) has...

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  9. Find unit vector in the direction of vector bar(a) = (2bar(i)+3bar(j)+...

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  10. Write direction ratios of the vector bar(r ) = bar(i) + bar(j) - 2bar(...

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  11. If alpha, beta and gamma be the angle made by the vector 3bar(i)-6bar(...

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  12. Find the angles made by the straight line passing through the points (...

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  13. Consider two points P and Q with position vectors bar(OP) = 3bar(a) - ...

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  14. Consider two points P and Q with position vectors bar(OP) = 3bar(a) - ...

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  15. Show that the points A(2bar(i)-bar(j)+bar(k)), B(bar(i)-3bar(j)-5bar(k...

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  16. Show that the triangle formed by the vectors 3bar(i)+5bar(j)+2bar(k), ...

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  17. S.T the points whose P.V are bar(a) - 2bar(b) + 3bar(c ), 2bar(a)+3bar...

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  18. ABCDE is a pentagon. If the sum of the vectors bar(AB),bar(AE), bar(...

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  19. If bar(a), bar(b), bar(c ) are P.V's of the vertices A,B,C respectivel...

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  20. Find the vector equation of plane passing through Points (0,0,0) , (0,...

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