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Find the magnitude of the vector : ...

Find the magnitude of the vector :
`(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 interior acute angle of the parallelogram whose sides are represented by the vectors (1)/(sqrt(2))hat(i)+(1)/(sqrt(2))hat(j)+hat(k) and (1)/(sqrt(2))hat(i) - (1)/(sqrt(2))hat(j)+hat(k) ?

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

What is the interior acute angle of the parallelogram whose sides are represented by the vectors (1)/(sqrt2) hat(i) +(2)/(sqrt2) hat(j) + hat(k) and (1)/(sqrt2) hat(i) - (1)/(sqrt2) hat(j) + hat(k) ?

The expression (1/(sqrt(2))hat(i)+1/(sqrt(2))hat(j)) is a

Let vec a=2hat i+hat j+hat k,hat b=hat i+2hat j-hat k and a unit vector vec c be coplanar.If vec c is perpendicular to vec a then vec c=+-(1)/(sqrt(2))(-hat j+hat k)( b) (1)/(sqrt(3))(-hat i-hat j-hat k)(1)/(sqrt(5))(hat o-2hat j)(d)(1)/(sqrt(3))(hat i-hat j-hat k)

Find a unit vector parallel to the vector hat i+sqrt(3)hat j

A non-zero vector vec a is such that its projections along vectors (hat i+hat j)/(sqrt(2)),(-hat i+hat j)/(sqrt(2)) and hat k are equal,then unit vector along vec a is (sqrt(2)hat j-hat k)/(sqrt(3))b(hat j-sqrt(2)hat k)/(sqrt(3)) c.(sqrt(2))/(sqrt(3))hat j+(hat k)/(sqrt(3))d.(hat j-hat k)/(sqrt(2))

If in a Delta ABC,A=(0,0),B=(3,3sqrt(3)),C-=(-3sqrt(3),3) then the vector of magnitude sqrt(2) units directed along AO, where O is the circumcentre of ABC is (1-sqrt(3))hat i+(1+sqrt(3))hat j b.(1+sqrt(3))hat i+(1-sqrt(3))hat j c.(1+sqrt(3))hat i+(sqrt(3)-1)hat j d.none of these

If side vec AB of an equilateral trangle ABC lying in the x-y plane 3hat i ,then side vec CB can be -(3)/(2)(hat i-sqrt(3)hat j) b.-(3)/(2)(hat i-sqrt(3)hat j) c.-(3)/(2)(hat i+sqrt(3)hat j) d.(3)/(2)(hat i+sqrt(3)hat j)

MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (c ) Short Answer Type Questions
  1. Find the magnitude of the vector : (1)/(sqrt(3))hat(i)+(1)/(sqrt(...

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  2. Find the magnitude of the vector : hat(i)-3hat(j)+4hat(k).

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  3. Find the values of 'x' for which x(hat(i)+hat(j)+hat(k)) is a unit vec...

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

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  5. Find the unit vector in the direction of the vector : vec(a)=2hat(i)...

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  6. Find the unit vector in the direction of the vector : vec(a)=3hat(i...

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  7. Find the unit vector in the direction of the vector : vec(b)=2hat(i...

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  8. Find the unit vector in the direction of the vector : vec(a)=2hat(i...

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  9. Find the unit vector in the direction of the vector : vec(a)=2hat(i...

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

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  11. Find x and y for which the vectors 2hati+3hatj and xhati+yhatj are equ...

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  12. Find the values of x, y and z so that the vectors -> a=x hat i+2 hat ...

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  13. Show that the direction cosines of a vector equally inclined to the ...

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  14. Show that the vector hat i+ hat j+ hat k is equally inclined with the...

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

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  16. A and B are two points with position vectors 2vec(a)-3vec(b) and 6vec(...

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  17. P and Q are two points with position vectors 3 vec a-2 vec b and v...

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  18. X and Y are two points with position vectors 3vec(a)+vec(b) and vec(a)...

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  19. Find the position vector of the mid-point of the vector joining point ...

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  20. Find the position vector of the mid point of the ne segment A B ,\ wh...

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