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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.

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

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

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

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.

If the vectors 6hati-2hatj+3hatk,2hati+3hatj-6hatk and 3hati+6hatj-2hatk form a triangle, then it is

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

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

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

MODERN PUBLICATION-VECTORS-Exercise
  1. If the vertices A, B, C of a triangle ABC are (1,2,3), (-1,0,0), (0,1,...

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

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  3. Using vector method, show that the points whose position vectors are ,...

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  4. If veca is a nonzero vector of magnitude 'a' and lambda a nonzero s...

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  5. Find |vecaxxvecb| if veca=hati-7hatj+7hatk and vceb=3hati-2hatj+2hatk.

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  6. Find a unit vector perpendicular to each of the vector veca + vecb and...

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  7. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

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  8. Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb).

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  9. Find lambda and mu if : (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk)...

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  10. Given that veca cdot vecb = 0 and vecaxxvecb = vec0. What can you conc...

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  11. Let the vectors veca,vecb,vecc be given as : a1hati+a2hatj+a3hatk,b1ha...

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  12. If either veca = vec0or vecb = vec0 then vecaxxvecb= vec0. Is the con...

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  13. Find the area of the triangle with vertices A(1,12), B(2,3,5), C(1,5,5...

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  14. Determine the area of a parallelogram whose adjacent sides are represe...

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  15. Let the vectors veca and vecb be such that |veca| = 3 and |vecb| = sqr...

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  16. Area of a rectangle having vertices A, B, C and D with position vector...

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  17. Write down a unit vector in XY-plane, making an angle of 30^o with the...

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  18. Find the scalar components and magnitude of the vector joining the poi...

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  19. A girl walks 4 km towards west, then she walks 3 km in a direction 30^...

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  20. If veca = vecb + vecc, then is it true that |veca| = |vecb| + |vecc|?...

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