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Find the values of x, y and z so that th...

Find the values of x, y and z so that the vectors ` -> a=x hat i+2 hat j+z hat k` and ` -> b=2 hat i+y hat j+ hat k` are equal.

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The correct Answer is:
`x=2, y=2, z=1`
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MODERN PUBLICATION-VECTOR ALGEBRA -EXERCISE 10 (c ) Short Answer Type Questions
  1. Find the unit vector in the direction of vector -> P Q , where ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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