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Show that the vectors -hati-2hatj-6hatk,...

Show that the vectors `-hati-2hatj-6hatk,2hati-hatj+hatk" "`and `-hati+3hatj+5hatk,` form a right angled triangle.

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Show that the vectors 3hati-2hatj+hatk,hati-3hatj+5hatk and 2hati+hatj-4hatk form a right angled triangle.

Show that the vectors 2hati-hatj+hatk,hati-3hatj-5hatkand3hati-4hatk form the vertices of a right angled triangle.

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

Prove that the points whose position vectors 2hati+4hatj+3hatk,4hati+hatj+9hatk and 10hati-hatj+6hatk form a right angled triangle.

Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4hatj+5hatk,hati-hatj from a right angled triangle.

Prove that points hati+2hatj-3hatk, 2hati-hatj+hatk and 2hati+5hatj-hatk form a triangle in space.

Show that the vectors 5 hat i+6hatj+7hatk,7hati-8hatj+9hatk,3hati+20hatj+5hatk are coplanar.

Examine whether the vectors hati+3hatj+hatk,2hati-hatj-hatk and 7hatj+5hatk are coplanar.

SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.3
  1. Find veca.vecb when veca=hati-2hatj+hatk" ""and"" " vecb=3hati-4hatj...

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  2. Find veca.vecb when veca=2hati+2hatj-hatk" ""and"" " vecb=6hati-3hat...

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  3. Find the value lambda for which the vectors veca and vecb are perpendi...

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  4. Find the value lambda for which the vectors veca and vecb are perpendi...

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  5. If veca and vecb are two vectors such that |veca|=10,|vecb|=15" ""and"...

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  6. Find the angle between the vectors 2hati+3hatj-6hatk" "and 6hati-3ha...

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  7. Find the angle between the vectors hati-hatj" ""and"" "hatj-hatk.

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  8. If veca,vecb,vecc are three vectors such that veca+2vecb+vecc=vec0 and...

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  9. Show that the vectors veca=2hati+3hatj+6hatk,vecb=6hati+2hatj-3hatk, "...

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  10. Show that the vectors -hati-2hatj-6hatk,2hati-hatj+hatk" "and -hati+3h...

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  11. If |veca|=5,|vecb|=6,|vecc|=7 and veca+vecb+vecc=vec0, find veca.vecb+...

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  12. Show that the points (2,-1,3), (4,3,1) and (3,1,2) are collinear.

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  13. If veca,vecb are unit vectors and theta is the angle between them, sho...

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  14. If veca,vecb are unit vectors and theta is the angle between them, sho...

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  15. If veca,vecb are unit vectors and theta is the angle between them, sho...

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  16. Let vec a,vecb,vecc be three vectors such that |veca|=3,|vecb|=4,|vecc...

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  17. Find the projection of the vector hati+3hatj+7hatk on the vector 2hati...

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  18. Find lambda, when the projection of veca=lambdahati+hatj+4hatk on vecb...

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  19. Three vectors veca,vecb and vecc are such that |veca|=2,|vecb|=3,|vecc...

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