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Show that the vectors veca=3hati-2hatj+h...

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

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Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj-7hatk .

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

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

If the vectors vec a=2hati-hatj+hatk, vec b=hati+mhatj-3hatk and vec c =3hati-4hatj+5hatk are coplanar, then find m.

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

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If vecA= 5hati+6hatj+3hatk and vecB=6hati-2hatj-6hatk , then

Find the angle between the vectors veca=hati-hatj+hatk and vecb=hati+hatj-hatk .

If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+3hatk are coplanar, then the value of m is -

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

CHHAYA PUBLICATION-VECTOR-PROBLEM SET-I
  1. A stone is thrown from the ground with a velocity of 14 m *s^(-1) ...

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  2. A stone is thrown from the ground with a velocity of 14 m *s^(-1) ...

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  3. A stone is thrown up from the earth's surface with an initial velocit...

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  4. If the range of a projectile, projected from the surface of the eart...

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  5. A soldier fires a bullet horizontally from the top a cliff with a vel...

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  6. Show that the maximum height attained by a projectile is one fourth of...

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  7. Find the magnitude of the vector 3hati+4hatj+12hatk and the angles it ...

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  8. What is the value of the resultant of three vectors hati , hatj and sq...

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  9. Position coordinates of the points A, B,C are (1,2,3),(2,3,1) and (3,1...

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  10. If vecA=5hati+3hatj-4hatk and vecB=5hati+2hatj+4hatk are two vectors, ...

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  11. Find the magnitudes of the sum and difference of two vectors 6hati-4ha...

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  12. Show that the magnitude of vecAxxvecB and area of a parallelogram of...

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  13. Determine the angle between vecA=2hati-2hatj+hatk and vecB=3hati+hatj-...

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  14. If vecA=hati+4hatj+hatk and vecB=3hati-5hatj+hatk, find the unit vect...

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  15. Show that the vectors veca=3hati-2hatj+hatk, vecb=hati-3hatj+5hatk and...

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  16. If the mid-points of the consecutive sides of any quan riateral are ...

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  17. Prove that |axxb|^2=a^2b^2-(a*b)^2.

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  18. Find the magnitude and direction of veca=3hati+4hatj. What are the co...

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  19. Which vector is to be added with 3hati+4hatj-5hatk and hati-2hatj+7hat...

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  20. Find the direction cosines for the vector veca=4hati+6hatj-5hatk.

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