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Show that each of the given three vector...

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.

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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)

Find the vector projection of the vector 7hati+hatj-hatk on : 2hati+6hatj+3hatk .

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

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

Show that vectors vecA= 3hati+ hatj+ hatk and vecB= hati+ 2hatj- 5hatk are perpendicular to each other.

Show that the following points whose psitions vectors are given are collinear : -2hati+3hatj+5hatk, hati+2hatj+3hatk and 7hati-hatk

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MODERN PUBLICATION-VECTORS-Exercise
  1. Find the projection of the vector hati + hatj on the vector hati -hatj

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

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  3. Show that each of the given three vectors is a unit vector : 1/7(2hati...

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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=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

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

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  10. If veca*veca=0 and veca*vecb=0, then what can be concluded about the v...

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  11. If veca,vecb,vecc are unit vectors such that veca+vecb+vecc=vec0, find...

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  12. If either vector veca=vec0 or vecb=vec0, then veca*vecb=vec0. 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. Using vector method, show that the points whose position vectors are ,...

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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=hati-7hatj+7hatk and vceb=3hati-2hatj+2hatk.

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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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