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Show that the points : A(2hati-hatj+hatk...

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

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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 vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4hatj-4hatk form the vertices of a right angled triangle.

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

Show that the following vectors are coplanar : 2hati-hatj+hatk,hati-3hatj-5hatk,3hati-4hatj-4hatk .

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

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

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.

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

MODERN PUBLICATION-VECTORS-Exercise
  1. Find the scalar product of the following pairs of vectors and the angl...

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  2. Find the scalar product of the following pairs of vectors and the angl...

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

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  4. The position vectors of the vertices of /\ABC are : 3hati-4hatj-4hatk,...

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  5. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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  6. If veca+vecb+vecc=vec0, |veca|=3,|vecb|=5 and |vecc|=7, find the angle...

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  7. If |veca+vecb|=|veca-vecb| then show that veca and vecb are perpendicu...

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  8. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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  9. Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...

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  10. Three vectors veca, vecb, vecc satisfy the condition veca+vecb+vecc=v...

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  11. If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc...

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  12. The scalar product of the vector veca=hati+hatj+hatk with a unit vecto...

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

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  14. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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  15. IF veca=3hati+hatj-4hatk,vecb=6hati+5hatj-2hatk and |vecc|=3, find the...

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  16. If veca=hati+4hatj+2hatk , vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+...

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  17. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  18. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  19. If veca=hati-hatj, vecb= 3hatj-hatk and vecc=7hati-hatk. Find a vector...

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  20. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...

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