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Show that the points A (-2,3,5), B (1,2,...

Show that the points `A (-2,3,5), B (1,2,3) and C (7,0,-1)` are collinear.

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Using section formula, prove that the three points A (-2,3,5), B (1,2,3) and C (7,0,-1) are collinear.

Show that the points (-2, 3, 5) , (1, 2, 3) and (7, 0, -1) are collinear.

Using the section formula, prove that the three points A(-2,3,5),B(1,2,3) and C(7,0,-1) are collinear.

Using direction ratios show that the points A(2,3,-4), B(1,-2,3) and C(3,8,-11) are collinear.

Show that the points P (-2, 3, 5) , Q (1, 2, 3) and R (7, 0, -1) are collinear.

Prove that the points A(2,0,-3), B (1,-2,-5) and C(3,2,-1) are collinear.

Using slopes, show that the points A(0,5) , B(3,2) and C(-1,6) are collinear.

Using section formula, show that the points A (2, -3, 4) , B (-1, 2, 1) and C(0,1/3,2) are collinear.

Show that the points A (2, 3, 4), B (3, 4, 6) and C (5, 6, 16) are collinear.

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AAKASH INSTITUTE ENGLISH-VECTOR ALGEBRA-TRY YOURSELF
  1. Classify the following as scalars and vectors : Time Distance Di...

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  2. Represent the following graphically : A displacement of 70 km, 60^(@...

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  3. In the given figure, vectors which are Collinear Equal Collinear...

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  4. In the given figure, identify the following vectors : Coinitial ...

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  5. Vectors drawn the origin O to the points A , B and C are respectively ...

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  6. If vec P O+ vec O Q= vec Q O+ vec O R , show that the point, P ,Q ,R ...

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  7. If A=(0,1)B=(1,0),C=(1,2),D=(2,1) , prove that vec A B= vec C Ddot

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  8. If the position vector veca of a point (m,5) is such that |veca|=13, f...

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  9. (i) Find the sum of vectors veca=hati-2hatj+hatk , vecb=-2hati+4hat...

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  10. (i) Find the unit vector in the direction of veca+vecb if veca=2hati-h...

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  11. Find the distance between points A(2,5,7), B(1,3,5), by using vector ...

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  12. Show that the points A (-2,3,5), B (1,2,3) and C (7,0,-1) are collinea...

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  13. Find the mid point of the line segment joining the points P(2hati+3hat...

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  14. Find the position vector of a point R which divides the line joining ...

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  15. Find the angle between the vectors veca and vecb if |veca|=2|vecb|=3...

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  16. Find the projection of vector veca=5hati-hatj-3hatk on the vector vecb...

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  17. Show that the points with position vectors vec a-2 vec b+3 vec c ,\ -...

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  18. Let veca and vecb be two vectors of the same magnitude such that the a...

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  19. Find the magnitude of a given by veca=(hati+3hatj+hatk)xx(-hati+3hatk)

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  20. Find the area of the triangle whose vertices are A(3,-1,2),\ B(1,-1,-3...

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