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Prove that the points hat i- hat j ,4 h...

Prove that the points ` hat i- hat j ,4 hat i-3 hat j+ hat k` and `2 hat i-4 hat j+5 hat k` are the vertices of a right angled triangle.

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Show that the vectors 2 hat i- hat j+ hat k , hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k form the vertices of a right angled triangle.

Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 hat k), C(3 hat i-4 hat j-4 hat k) are the vertices of a right angled triangle.

Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 hat k), C(3 hat i-4 hat j-4 hat k) are the vertices of a right angled triangle.

Show that the points A, B, C with position vectors 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k respectively, are the vertices of a right angled triangle. Also, find the remaining angles of the triangle.

Show that the vector 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k ,\ 3 hat i-4 hat j-4 hat k form the sides of a rights angled triangle.

If points hat i+ hat j , hat i- hat j and p hat i+q hat j+r hat k are collinear, then

Show that the points A, B and C with position vectors, veca=3 hat i-4 hat j-4 hat k , vecb=2 hat i- hat j+ hat k and vecc= hat i-3 hat j-5 hat k respectively form the vertices of a right angled triangle.

Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k and 2 hat i + 5 hat j - hat k from a triangle in space.

Show that the point A , B and C with position vectors vec a =3 hat i - 4 hat j -4 hat k vec b = 2 hat i j + hat k and vec c = hat i - 3 hat j - 5 hat k , respectively form the vertices of a right angled triangle.

Show that the vectors vec a=3 hat i-2 hat j+ hat k , vec b= hat i+3 hat j+5 hat k , vec c=2 hat i+ hat j-4 hat k form a right angled triangle.

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Let vec a , vec b , vec c , vec d be the position vectors of the four...

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  2. 6). If vec P Q=3 hat i+2 hat j- hat k and the coordinates of P are ...

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  3. Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat ...

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  4. If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and ...

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  5. Can a vector have direction angles 45^0,60^0,120^0

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  6. A vector makes an angle of pi/4 with each of x-axis and y-axis F...

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  7. Show that the point A ,B ,C with position vectors vec a-2 vec b...

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  8. If vec A O+ vec O B= vec B O+ vec O C , prove that A , B , C are coll...

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  9. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 hat...

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  10. Show that the four points A ,B , Ca n dD with position vectors ...

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

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  12. Five forces vec A B , vec A C , vec A D , vec A E and vec A F act...

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  13. If vec a= hat i+ hat j+ hat k , vec b=4 hat i-2 hat j+3 hat k and ve...

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  14. Answer the following as true or flase: vec a and vec b are collin...

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  15. Find the coordinates of the tip of the position vector which is equ...

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  16. Express vec A B in terms of unit vectors hat i and hat j , wh...

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  17. If the position vectors of the points A(3,4),B(5,-6) and (4,-1) are v...

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  18. A B C D is parallelogram. If the coordinates of A , B , C are (-2,-...

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  19. If the position vector of a point (-4,-3) be vec a , find |a| .

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  20. Find a vector of magnitude 4 units which is parallel to the vector ...

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