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Find unit vector in the direction of vector `bar(a) = (2bar(i)+3bar(j)+bar(k))`

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Find a vector in the direction of vector bar(a) = bar(i) - 2bar(j) has magnitude 7 units.

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If bar(a)=2bari+4barj-5bark,bar(b)=bar(i)+bar(j)+bar(k)and bar(c)=bar(j)+2bar(k) . Find the unit vector in the opposite direction of bar(a)+bar(b)+bar(c) .

Find a unit vector perpendicular to the plane containing the vector bar(a) = 4bar(i) + 3bar(j) - bar(k), bar(b) = 2bar(i) - 6bar(j) - 3bar(k)

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Let bar a = 2 bari + 4 bar j - 5 bark, bar b= bar i + bar j + bar k and bar c = bar j + 2 bar k . Find the unit vector in the opposite direction of bar a + bar b + bar c .

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NCERT TELUGU-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Find unit vector in the direction of vector bar(a) = (2bar(i)+3bar(j)+...

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  2. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

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  3. Find the scalar components and magnitude of the vector joining the poi...

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

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  5. If veca=vecb+vecc , then is it true that |veca|=|vecb|+|vecc|? Justify...

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  6. Find the value of x for which x(hati+hatj+hatk) is a unit vector.

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  7. Find a vector of magnitude 5 units and parallel to the resultant of th...

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  8. If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...

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  9. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7) are collinear , ...

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  10. Find the position vector of a point R which divides the line joining t...

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  11. The two adjacent sides of a parallelogram are 2hati-4hatj+5kandhati-2h...

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

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  13. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

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  14. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  15. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

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  16. Let vecaandvecb be two unit vectors and theta is the angle between the...

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  17. The value of hati.(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) is

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  18. If theta is the angle between any two vectors vecaandvecb, then |veca*...

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