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If the position vector veca of a point (...

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

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AAKASH INSTITUTE-VECTOR ALGEBRA-TRY YOURSELF
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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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