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Show that the point 2 hat i ,- hat i-...

Show that the point `2 hat i ,- hat i-4 hat j` and `- hat i+4 hat j` from an isosceles triangle.

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Show that the vectors 2 hat i-3 hat j+4 hat k and -4 hat i+6 hat j-8 hat k are collinear.

Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8 hat k are collinear.

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.

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 hat i- hat j+3 hat ka n d3( hat i+ hat j+ hat k) are equidistant from the plane vec rdot(5 hat i+2 hat j+ hat k)+9=0 and lie on opposite sides of it.

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 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 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.

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. If the position vectors of the points A(3,4),B(5,-6) and C(4,-1) are ...

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  2. If vec a be the position vector whose tip is (5,-3), find the c...

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  3. Show that the point 2 hat i ,- hat i-4 hat j and - hat i+4 hat j fr...

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  4. Find a unit vector parallel to the vector hat i+sqrt(3) hat j

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  5. Find the components along the coordinate axes of the position vector o...

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  6. Find the components along the coordinate axes of the position vector o...

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  7. Find the components along the coordinate axes of the position vector o...

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  8. Find the components along the coordinate axes of the position vector o...

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  9. Find the value of x ,\ y\ a n d\ z so that the vectors vec a=x ...

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  10. Find the sum of vectors vec a= hat i-2 hat j+ hat k ,\ vec b=-2 hat ...

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  11. Find the distance between the points A(2,3,1)a n d\ B(-1,\ 2,\ -3) , u...

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  12. Show that the points A ,\ B\ a n d\ C with position vectos vec a=3 ha...

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  13. Find the unit vector in the direction of vec a+ vec b ,\ if\ vec a=2...

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

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  15. Find the magnitude of the vectors vec a=2 hat i+3 hat j-6 hat kdot

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  16. Find the unit vector in the direction of 3 hat i+4 hat j-12 hat kdot

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  17. The adjacent sides of a parallelogram are represented by the vectors ...

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

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

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