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Show that the points A(2veci-vecj+veck),...

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

Show that the points A, B and C with position vectors, veca=3veci-4vecj-4veck, vecb=2veci-vecj+veck, vecc=veci-3vecj-5veck , respectively form the vertices of a right angled triangle.

Show that the vectors 2veci-3vecj+4veck, -4veci+6vecj-8veck are collinear.

Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (-1,1) are the vertices of a right angled triangle.

Show that the points A(2 hat i - hat j + hat k) , B(hat i - 3 hat j- 5 hat k ) and C(3 hat i - 4 hat j- 4 hat k) 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.

Without using the pythagorus, show that the points (4, 4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.

Show that the points (3, 4), (8, -6) and (13, 9) are the vertices of a right angled triangle.

PSEB-VECTOR ALGEBRA-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. Show that the points A(2veci-vecj+veck), B(veci-3vecj-5veck), C(3veci-...

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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 = veci - 7vecj + 7veck and vecb = 3veci - 2...

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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. lambda ਅਤੇ mu ਪਤਾ ਕਰੋ, ਜੇਕਰ (2veci+6vecj+27veck)xx(veci+lambdavecj+muv...

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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 veca1hati + veca2hatj + v...

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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. Find the area of the parallelogram whose adjacent sides are determined...

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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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