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Show that the points : A(-2hati+3hatj+5h...

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

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

Show that the points A(2hati-hatj+hatk), B(hati-3hatj-5hatk), C(3hati-4hatj-4hatk) are the vertices of a right angled triangle.

Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4hatj-4hatk) are the vertices of a right-angled triangle.

Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5hatk, hati+2hatj-3hatk and 2hati-hatj+hatk are coplanar.

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

Find the distane of the point P(hati+hatj+hatk) from the plane through the points A(2hati+hatj+hatk) , B(hati+2hatj+hatk) and C(hati+hatj+2hatk)

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

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

Find the value of lambda . such that given vectors 3hati+lambdahatj+5hatk , hati+2hatj-3hatk and 2hati-hatj+hatk are coplaner.

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Show that the points A(1,2,7), B(2,6,3) and C(3,10,-1) are collinear.

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

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

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

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

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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 angle between two vectors veca and vecb with magnitudes sqrt3...

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

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

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

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

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

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

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

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

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

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

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

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