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

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

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(i) Using section formula, show that the points A(-2, 3,5), B(1,2,3) and C(7,0,-1) are collinear. (ii) Using division formula, prove that the points (2,3,4),(-1,-2,1) and (5,8,7) are collinear.

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

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

Show that the points A(1,2,7),B(2,6,3) and C(3,10,-1) are collinear.

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

Prove that the point A(1,2,3), B(-2,3,5) and C(7,0,-1) are collinear.

2.Show that the points (2,-1,-1),(4,-3,0) and (0,1,-2) 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.

Using distance formula, show that the points (1,5), (2,4) and (3,3) are collinear.

Show that the points A(2,1,3) ,B(5,0,5) and C(-4,3,-1) are collinear .

AAKASH INSTITUTE-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. If vectors drawn from the origin to the point A,B, and C are respectiv...

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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 vecahati-2hatj+hatk , vecb=-2hati+4hatj...

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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 (-2,3,5),(1,2,3) and (7,0,-1) are collinear.

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

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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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