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Show that the three points with position vectors `-2hati+3hatj+5hatk`,`hati+2hatj+3hatk` and `7hati-hatk` are collinear.

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Show that the three points with position vectors 2hati+6hatj+3hatk , hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.

Show that the three points with position vectors hati+2hatj+7hatk , 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear.

Show that the points : A(-2hati+3hatj+5hatk), B(hati+2hatj+3hatk) and C(7hati-hatk) are collinear.

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb=2hati-hatj+hatk and vecc=hati-3hatj-5hatk respectively form the vertices of a right angled triangle.

Using vector method, show that the points whose position vectors are , 2hati-hatj+hatk and hati-3hatj-5hatk and 3hati-4hatj-4hatk form a right angled triangle.

Using scalar triple product, show that the four points given by position vectors : 2hati+3hatj+2hatk,4hati-5hatk,3hati+hatj-2hatk and 5hati+3hatj-4hatk are coplanar.

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

Show that the four points with position vectors 4hati+8hatj+12hatk,2hati+4hatj+6hatk,3hati+5hatj+4hatk and 5hati+8hatj+5hatk are coplanar.

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)
  1. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  2. The magnitude of the vector 2hati-6hatj-3hatk is :

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  3. Show that the three points with position vectors -2hati+3hatj+5hatk,ha...

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  4. The value of lambda for which the vectors veca=2hati+lambdahatj+hatk ...

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  5. Let veca=4hati+5hatj-hatk,vecb=hati-4hatj+5hatk and vecc=3hati+hatj-ha...

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  6. Find the scalar projection of vecb on veca where : veca=2hati-2hatj+ha...

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  7. If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4ha...

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  8. Find the area of the parallelogram whose diagonals are : veca=hati-2ha...

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

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  10. Find the angle between two vectors vecaand vecb with magnitudes 1 and ...

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  11. Find a vector of magnitude 19, which is perpendicular to both the vect...

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  12. Find a vector of magnitude 7 , which is perpendicular to both the vect...

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  13. Find the area of triangle with vertices (1,1,2),(2,3,5),(1,5,5).

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  14. Find the area of triangle with vertices (1,2,4),(3,1,-2)and(4,3,1).

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  15. Find |veca-vecb|, if two vectors veca and vecb are such that |veca|=2,...

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  16. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

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  17. Prove that {(vecb+vecc)xx(vecc+veca)}.(veca+vecb)=2[veca,vecb,vecc]

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  18. If vec a and vec b are unit vectors and theta is the angle between the...

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  19. For what value of 'lambda' are the following vectors coplanar? : hat...

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  20. For what value of 'lambda' are the following vectors coplanar? : hat...

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