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Find the sum of the vectors vec(a)=(hat(...

Find the sum of the vectors `vec(a)=(hat(i)-3hat(k)), vec(b)=(2hat(j)-hat(k)) and vec(c)=(2hat(i)-3hat(j)+2hat(k))`.

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The correct Answer is:
`(3hat(i)-hat(j)-2hat(k))`
`(vec(a)+vec(b)+vec(c))=(1+0+2)hat(i)+(0+2-3)hat(j)+[(-3)+(-1)+2]hat(k)`
`=(3hat(i)-hat(j)-2hat(k))`.
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RS AGGARWAL-PRODUCT OF THREE VECTORS-Exercise 25B
  1. If vec(a) and vec(b) are perpendicular vectors such that |vec(a)+vec(b...

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  2. Find | vec x| , if for a unit vector vec a ,\ ( vec x- vec a)dot( vec...

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  3. Find the sum of the vectors vec(a)=(hat(i)-3hat(k)), vec(b)=(2hat(j)-h...

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  4. Find the sum of the following vectors vec a= hat i-2 hat j ,\ vec b=...

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  5. Writhe the projection of the vector 7 hat i+ hat j-4 hat k on the vect...

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  6. Find [vec(a)vec(b)vec(c)], when (i) vec(a)=2hat(i)+hat(j)+3hat(k), v...

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  7. Find [vec(a)vec(b)vec(c)], when (i) vec(a)=2hat(i)+hat(j)+3hat(k), v...

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  8. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k which...

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  9. If veca=2hati+2hatj+3hatk, vecb=-hati+2hatj+hatk and vecc=3hati+hatj t...

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  10. Write a vector of magnitude 15 units in the direction of vecor (hat(i...

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  11. If vec a= hat i+ hat j+ hat k , vec b=4 hat i-2 hat j+3 hat k and ve...

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  12. Write the projection of the vector hat i- hat j on the vector ha...

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  13. Writhe the angle between two vectors vec a\ a n d\ vec b"\ " with ma...

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  14. Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat ka n d vec b=3 ...

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  15. Find the angle between two vectors vec(a) and vec(b) with magnitudes 1...

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  16. Given that -> adot -> b=0 and -> axx -> b= ->0 . What can you ...

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  17. Write the value of p for which vec a=3 hat i+2 hat j+9 hat k\ a n d\ ...

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  18. Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...

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  19. Find the volume of the parallelepiped whose edges are represented by t...

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  20. Show that the vectors vec a=-2 hat i-2 hat j+4 hat k ,\ vec b=-2 ...

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