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Find a vector of magnitude 5 units, and...

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors ` -> a=2 hat i+3 hat j- hat k`and ` -> b= hat i-2 hat j+ hat k`.

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Find a vector of magnitude 5units and parallel to the resultant of vec a=2hat i+3hat j-3hat k and vec b=hat i-2hat j+3hat k

Find a unit vector parallel to the resultant of vectors vec A = 3 hat I + 3 hat j - 2 hat k and vec B= hat i- 5 hat j + hat k .

The unit vector parallel to the resultant of the vectors vec(A) = hat(i) + 2 hat(j) - hat(k) and vec(B) = 2 hat(i) + 4 hat(j) - hat(k) is

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

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Dine the unit vector peroendicular to each of the vectors 3 hat i+ hat j 2 hat k and 2 hat i- 2 hat j = 4 hat k .

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MODERN PUBLICATION-VECTOR ALGEBRA -Miscellaneous Exercise on Chapter 10
  1. Write down a unit vector in XY-plane, making an angle of 30 with th...

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

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  3. A girl walks 4 km towards west, then she walks 3 km in a direction 30...

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  4. If vec(a)=vec(b)+vec(c ), then is it true that |vec(a)|=|vec(b)|+|vec(...

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  5. Find the value of x for which x( hat i+ hat j+ hat k)is a unit vector...

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  6. Find a vector of magnitude 5 units, and parallel to the resultant of ...

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  7. If -> a= hat i+ hat j+ hat k , -> b=2 hat i- hat j+3 hat k and -...

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  8. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

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  9. Find the position vector of a point R which divides the line joinin...

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  10. The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k ...

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

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  12. Let -> a= hat i+4 hat j+2 hat k , -> b=3 hat i-2 hat j+7 hat k and...

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  13. The scalar product of the vector hat i+ hat j+ hat kwith a unit vect...

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  14. If vec a , vec b , vec c are mutually perpenedicular vectors of eq...

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  15. Prove that ( -> a+ -> b)dot( -> a+ -> c)| -> a|^2+| -> b|^2 , if and o...

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  16. If theta is the angle between two vectors vec a\ a n d\ vec b ,\ t h...

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  17. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

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  18. Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...

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  19. If is the angle between any two vectors -> a and -> b , then ...

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