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

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

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

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

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

Find 'lambda' so that the four points with position vectors -hati+3hatj+2hatk,3hati+lambda hatj+4hatk,5hati+7hatj+3hatk and -13hati+17hatj-hatk are coplanar.

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. If veca=5hati+hatj-4hatk, vecb=2hati-3hatj+hatk and vecc=hati+3hatj-2h...

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  2. Show that the points A(1,2,7), B(2,6,3) and C(3,10,-1) are collinear.

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  3. Show that the three points with position vectors 2hati+6hatj+3hatk,hat...

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

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  5. Show that . the points (2. 6, 3), (1, 2, 7) and (3, 10, -1) are collin...

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

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

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  8. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  9. For any two vectors veca and vecb, prove that |veca.vecb|le|veca||vec...

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  10. For any two vectors veca and vecb, prove that : |veca+vecb|le|veca|+|v...

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

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  12. If |veca|=2, |vecb|=3 and |vecc|=4 and each of them is perpendiculart...

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  13. If |veca|=7, |vecb|=1 and |vecc|=5 and each of them is perpendicular ...

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  14. Let veca,vecb,vecc be the three vectors of magnitude 5, 3, I respectiv...

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  15. Find the scalar projection of : veca=2hati-hatj-3hatk on vecb=3hati-5h...

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  16. Find the scalar projection of : veca=7hati+3hatj+6hatk on vecb=5hati-2...

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

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

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

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  20. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

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