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Show that the given vector is a unit vector: `(1/7)(6veci + 2vecj - 3veck)`

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Show that the given vector is a unit vector: (1/7)(2hati + 3hatj + 6hatk)

Show that the given vector is a unit vector: (1/7)(3hati - 6hatj + 2hatk)

Show that each of the given three vectors is a unit vector : 1/7 (2 hat i +3 hat j + 6 hat k), 1/7 (3hat i -6 hat j + 2 hat k), 1/7 (6 hat i +2 hat j -3 hat k) Also, show that they are mutually perpendicular to each other.

Show that each of the given three vectors is a unit vector : 1/7(2hati+3hatj+6hatk),1/7(3hati-6hatj+2hatk),1/7(6hati+2hatj-3hatk) . Also, show that they are mutually perpendicular to each other.

Find the direction cosines of the vector veci+2vecj+3veck ।

Find the projection of the vector veci + 3vecj + 7veck on the vector 7veci - vecj + 8veck

Find the projection of the vector veca = 2veci + 3vecj + 2veck on the vector vecb = veci + 2vecj + veck

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.

What is the unit vector in the direction of veca=veci+vecj+2veck ?

PSEB-VECTOR ALGEBRA-Exercise
  1. Show that the given vector is a unit vector: (1/7)(2hati + 3hatj + 6h...

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  2. Show that the given vector is a unit vector: (1/7)(3hati - 6hatj + 2h...

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  3. Show that the given vector is a unit vector: (1/7)(6veci + 2vecj - 3v...

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  4. Find |veca| and |vecb|, if (veca+vecb)*(veca-vecb)=8 and |veca|=8|vecb...

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  5. Evaluate the product (3 hata-5hatb) cdot(2hata+7hatb)

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  6. Find the magnitude of two vectors veca and vecb, having the same magni...

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  7. Find |vecx|, if for a unit vector veca, (vecx - veca)cdot(vecx+veca)...

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  8. If veca = 2veci + 2vecj + 3veck, vecb = -veci + 2vecj + veck and vecc ...

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  9. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  10. If veca cdot veca = 0 and veca cdot vecab = 0, then what can be concl...

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  11. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

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  12. If either vector veca = 0or vecb = 0, then veca cdot vecb = 0.But the...

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

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

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

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

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  17. Find |vecaxxvecb|, if veca = veci - 7vecj + 7veck and vecb = 3veci - 2...

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

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

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

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