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Let vec a= hat i+2 hat jand vecb=2 hat...

Let ` vec a= hat i+2 hat j`and ` vecb=2 hat i+ hat j`. Is `| vec a|=| vec b|`? Are the vector ` vec a`and ` vec b`equal?

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Given ,
` vec a= hat i+2 hat j`and ` vecb=2 hat i+ hat j`.
`|veca| = sqrt [ 1^2 +2^2]`
`= sqrt(5)`
...
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NCERT-VECTOR ALGEBRA-SOLVED EXAMPLES
  1. In Figure, which of the vectors are: (i) Collinear (ii) Equal (iii) C...

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

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  3. Let vec a= hat i+2 hat jand vecb=2 hat i+ hat j. Is | vec a|=| vec b...

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  4. Find unit vector in the direction of vector vec a=2 hat i+3 hat j+ ha...

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  5. Find a vector in the direction of vector vec a= hat i-2 hat jthat has...

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  6. If with reference to the right handed system of mutually perpendicula...

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  7. Find | vec a xx vec b|,if vec a=2 hat i+ hat j+3 hat k and vec b=3 h...

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  8. Find a unit vector perpendicular to each of the vectors ( veca+ vecb)...

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  9. For any two vectors vec a and vec b, we always have |vec a+ vec b|<=|v...

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  10. Show that the points A(-2 hat i+3 hat j+5 hat k), B( hat i+2 hat j+3 h...

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  11. Write all the unit vectors in X Y-p l a n edot

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  12. If hat i+ hat j+ hat k ,2 hat i+5 hat j ,3 hat i+2 hat j-3 hat kand ...

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  13. Find the area of a triangle having the pointsA(1, 1, 1), B(1, 2, 3)and...

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  14. Find the area of a parallelogram whose adjacent sides are given by th...

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  15. Let vec a , vec b and vec cbe three vectors such that | vec a|=3,|...

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  16. Three vectors vec( a), vec(b) and vec(c) satisfy the co...

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  17. Find lambda if the vectors veca= hat i+3\ hat j+ hat k , vecb=2 hat...

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  18. Prove that [ -> a , -> b , -> c+ -> d]=[ -> a , -> b , -> c]+[ -> a , ...

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  19. Show that the vectors -> a= hat i-2\ hat j+3 hat k , -> b=\ 2 hat i...

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  20. Find vec a . ( vec b xx vec c), if vec a=2 hat i+ hat j+3 hat k , ve...

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