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

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  2. If vec P Q=3 hat i+2 hat j- hat k and the coordinates of P are (1,-1,...

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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 the vertices A ,\ B ,\ C of a triangle ABC are the point with posit...

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  5. Find the position vector from the origin O to the centroid of the tria...

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  6. Find the position vector of a point R which divides the line joinin...

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

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

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

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

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  11. 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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  12. 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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  13. Two vectors hat j + hat k and 3 hat i - hat j + 4 hat k represents t...

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

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

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

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

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

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

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

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