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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 with the coordinate axes.

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

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Find the angles which the vector vec a=hat i-hat j+sqrt(2)hat k makes with the coordinate axes.

Find the angles which the vector vec a=hat i-hat j+sqrt(2)hat k makes with the coordinate axes.

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

Find the values of lambda such that x,y,z!=(0,0,0)and(hat i+hat j+3hat k)x+(3hat i-3hat j+hat k)y+(-4hat i+5hat j)z=lambda(xhat i+yhat j+zhat k) where hat i,hat j,hat k are unit vector along coordinate axes.

Find the angles at which the following vectors are inclined to each of the coordinate axes: hat i-hat j+hat khat j-hat k4hat i+8hat j+hat k

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MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (c ) Short Answer Type Questions
  1. Find the values of x, y and z so that the vectors -> a=x hat i+2 hat ...

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

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

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

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

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

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

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

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

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

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  11. Find a vector in the direction of vec a=2 hat i- hat j+2 hat k , whic...

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  12. Find a vector in the direction of : vec(a)=hat(i)-2hat(j)+2hat(k),...

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  13. Find a vector in the direction of : vec(a)=-2hat(i)+hat(j)+2hat(k)...

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  14. Find the scalar components and magnitude of the vector joining the po...

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  15. If |vec(a)|=3, what is : |5vec(a)|

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  16. If |vec(a)|=3, what is : |-2vec(a)|

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  17. If |vec(a)|=3, what is : |0vec(a)| ?

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  18. If vec(a)=3hat(i)-2hat(j)+hat(k), vec(b)=2hat(i)-4 hat(j)-3 hat(k), fi...

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  19. Let vec(a) be a given vector whose initial point is P(x(1), y(1)) and ...

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  20. In the following, find the components of the vector vec(PQ) along x an...

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