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Find the unit vector in the direction of the sum of the vectors, ` vec a=2 hat i+2 hat j-5 hat k`and ` vec b=2 hat i+ hat j+3 hat k`.

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Given, ` vec a=2 hat i+2 hat j-5 hat k`and ` vec b=2 hat i+ hat j+3 hat k`.
`veca +vecb = (2+2) hat i + (2+1) hat j +(-5+3) hat k`
`= 4 hat i +3 hat j - 2 hat k`
Let `vecc = veca +vecb`
...
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NCERT-VECTOR ALGEBRA-SOLVED EXAMPLES
  1. Consider two points P and Q with position vectors vec( O P)=3 vec( a)...

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  2. Find the vector joining the points P(2, 3, 0)and Q( 1, 2, 4)directed...

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  3. Find the unit vector in the direction of the sum of the vectors, vec...

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  4. Write the direction ratios of the vector -> a= hat i+ hat j-2 hat ...

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  5. Represent graphically a displacement of 40 km, 30owest of south.

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  6. Classify the following measures as scalars and vectors.(i) 5 seconds...

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  7. In Figure, which of the vectors are: (i) Collinear (ii) Equal (iii) C...

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

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

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

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

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

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

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

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

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

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

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