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Compute the magnitude of the following vectors:` -> a= hat i+ hat j+ hat k`; ` -> b=2 hat i-7 hat j-3 hat k ; -> c=1/(sqrt(3)) hat i+1/(sqrt(3)) hat j-1/(sqrt(3)) hat k`

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Compute the magnitude of the following vectors: quad vec a=hat i+hat j+hat kvdotsvec b=2hat i-7hat j-3hat k;vec c=(1)/(sqrt(3))hat i+(1)/(sqrt(3))hat j-(1)/(sqrt(3))hat k

What is the magnitude of the vector 2 hat i -3 hat j + sqrt3 hat k ?

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Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

If the vectors 3 hat i +3 hat j +9 hat k and hat i +a hat j +3 hat k are parallel, then a =

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A unit vector parallel to the intersection of the planes vec rdot( hat i- hat j+ hat k)=5a n d vec rdot(2 hat i+ hat j-3 hat k)=4 a. (2 hat i+5 hat j-3 hat k)/(sqrt(38)) b. (-2 hat i+5 hat j-3 hat k)/(sqrt(38)) c. (2 hat i+5 hat j-3 hat k)/(sqrt(38)) d. (-2 hat i-5 hat j-3 hat k)/(sqrt(38))

Show that each of the following triads of vectors are coplanar: vec a= hat i+2 hat j- hat k , vec b=3 hat i+2 hat j+7 hat k , vec c=5 hat i-6 hat j+5 hat k vec a=-4 hat i-6 hat j-2 hat k , vec b=- hat i+4 hat j+3 hat k , vec c=8 hat i- hat j+3 hat k hat a= hat i-2 hat j+3 hat k , vec b=-2 hat i+3 hat j-4 hat k , vec c= hat i-3 hat j+5 hat k

Find the angle between the following pairs of lines: -> r=lambda( hat i+ hat j+2 hat k)\ a n d\ -> r=2 hat j+mu[(sqrt(3)-1) hat i-(sqrt(3)+1) hat j+4 hat k]dot

MODERN PUBLICATION-VECTOR ALGEBRA -Ncert File Question from Ncert Book (Exercise 10.2)
  1. Compute the magnitude of the following vectors: -> a= hat i+ hat j+ h...

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  2. Write two different vectors having same magnitude.

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  3. Write two different vectors having same direction.

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  4. Find the values of 'x' and 'y' so that vectors 2hat(i)+3hat(j) and x h...

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  5. Find the scalar and vector components of the vector with initial point...

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

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  7. Find the unit vector in the direction of the vector vec a= hat i9+...

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  8. Find the unit vector in the direction of vector -> P Q , where ...

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  9. For given vectors, -> a=2 hat i- hat j+2 hat kand -> b=- hat i+ hat...

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  10. Find a vector in the direction of vector 5 hat i- hat j+2 hat kwhich ...

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  11. Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8...

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  12. Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

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  13. Find the direction cosines of the vector joining the points A(1, 2, -3...

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  14. Show that the vector hat i+ hat j+ hat kis equally inclined to the a...

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  15. Find the position vector of a point R which divides the line joining ...

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  16. Find the position vector of the mid point of the vector joining the ...

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  17. Show that the points A ,\ B\ a n d\ C with position vectos vec a=3 ha...

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  18. In triangle ABC, which of the following is not true :

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  19. If vec(a) and vec(b) are two collinear vectors, then which of the foll...

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