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Show that the vector hat i+ hat j+ hat...

Show that the vector ` hat i+ hat j+ hat k`is equally inclined to the axes OX, OY and OZ.

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

Show that the vector i+j+k is equally inclined with the axes OX, OY and OZ .

12).Show that the vector hat i+hat j+hat k is equally inclined with the coordinate axes.( 13 show that the vectors vec a=(1)/(7)(2hat i+3hat j+6hat k),vec b=(1)/(7)(3hat i-6hat j+2hat k),vec c=(1)/(7)(6hat i+2hat j-3hat k) are mutually perpendicular unit vectors.

The units vectors orthogonal to the vector -hat i+2hat j+2hat k and making equal angles with the X and Y axes islare):

Find the angles at which the vector 2hat i-hat j+2tilde k is inclined to each of the coordinate axes.

The scalar product of the vector hat i+ hat j+ hat k with a unit vector along the sum of vector 2 hat i+4 hat j-5 hat k and lambda hat i+2 hat j+3 hat k is equal to one. Find the value of lambda .

The angle between the vectors (hat i + hat j + hat k) and ( hat i - hat j -hat k) is

What is the vector equally inclined to the vectors hat(i)+ 3hat(j) and 3 hat(i) + hat(j) ?

What is the vector equally inclined to the vectors hat(i)+3hat(j) and 3hat(i)+hat(j) ?

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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