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Show that the points A(2 hat i- hat j...

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.

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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 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.

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.

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.

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 points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 hat k) and C(7 hat i- hat k) are collinear.

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.

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.

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.

Show that the points A ,\ B\ a n d\ C with position vectos vec a=3 hat i-4 hat j-4 hat k ,\ vec b=2 hat i- hat j+ hat k\ a n d\ vec c= hat i-3 hat j-5 hat k represent, form the vertices of a right angled triangle.

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Find the position vector of a point R which divides the line joinin...

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  2. Find the unit vector in the direction of vector vec P Q , where P a...

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

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  4. Find the position vector of the mid point of the vector joining the ...

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  5. Find the value of x for which x\ ( hat i+ hat j+ hat k) is a unit vect...

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  6. 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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  7. If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d...

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  8. Two vectors hat j + hat k and 3 hat i - hat j + 4 hat k represents t...

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  9. Find a vector magnitude 5 units, and parallel to the resultant of t...

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  10. If a\ a n d\ b ar non collinear vector such that x1 vec a+y1 vec b=x2 ...

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

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

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  13. The position vectors of the points P ,\ Q ,\ R are hat i+2 hat j+3 ha...

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

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  15. If a ,\ b ,\ c are non coplanar vectors prove that the points having t...

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  16. If a ,\ b ,\ c are non coplanar vectors prove that the points having t...

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  17. Prove that the points having position vectors hat i+2 hat j+3 hat k ,...

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

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  19. If vec a , vec b are two non-collinear vectors, prove that the poi...

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

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