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Find angle theta between the vectors vec...

Find angle `theta` between the vectors `veca=hati+hatj-hatkandvecb=hati-hatj+hatk`.

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Measure of the angle between the vector vec(a)=hati-hatj+hatk and vec(b)=hati+hatj+hatk is …………..

The values of x for which the angle between the vectors veca =xhati - 3hatj-hatk and vecb = 2x hati + x hatj -hatk is acute, and the angle, between the vector vecb and the axis of ordinates is obtuse, are

Find the angle between the vectors hati-2hatj+3hatkand3hati-2hatj+hatk

Find the area the parallelogram whose adjacent sides are determined by the vectors veca=hati-hatj+3hatkandvecb=2hati-7hatj+hatk .

The angle between the two vectors vecA=3hati+4hatj+5hatk and vecB=3hati+4hatj-5hatk will be :

Find the angle between the vectors 2hati-hatj+hatk and 3hati+4hatj-hatk .

Find the area of a parallelogram whose adjacent sides are given by the vectors veca=3hati+hatj+4hatkandvecb=hati-hatj+hatk

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NCERT GUJARATI-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Find angle theta between the vectors veca=hati+hatj-hatkandvecb=hati-h...

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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. A vector has magnitude 5 units. It is parallel to the resultant vector...

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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. Prove that (veca+vecb)*(veca+vecb)=|veca|^(2)+|vecb|^(2), if and only...

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  16. If theta is angle between two vectors vec(a) and vec(b) then vec(a).ve...

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  17. Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...

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

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

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