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Represent graphically a displacement of 40 km , `30^(@)` west of south .

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Represent graphically a displacement of 40 km , 30^(@) east of north.

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Represent the following graphically: (i) A displacement of 40km, 30^(@) west of south, (ii) a displacement of 70km, 40^(@) north of west.

A man covered following displacements. Find the net displacement of the person (i) 25m west (ii) 20 m 30^(@) east of south (iii) 5sqrt(3)m south (iv) 10 m east (v) 10 m 60^(@) north of west

A body lost in a jungle finds a note. In the note was written the following things. Displacements 1. 300 m 53^(@) South of East . 2. 400 m 37^(@) North of East 3. 500 m North 4. 500sqrt(2) m North- West 5. 500 m South He starts walking at constant speed 2m/s following these displacements in the given order. How far and in which direction has he finally displaced after all the displaced after all the displacements in the note ?

A body lost in a jungle finds a note. In the note was written the following things. Displacements 1. 300 m 53^(@) South of East . 2. 400 m 37^(@) North of East 3. 500 m North 4. 500sqrt(2) m North- West 5. 500 m South He starts walking at constant speed 2m/s following these displacements in the given order. How far and in which direction is he from the starting ponit after 5 min. and 50 s ?

A body lost in a jungle finds a note. In the note was written the following things. Displacements 1. 300 m 53^(@) South of East . 2. 400 m 37^(@) North of East 3. 500 m North 4. 500sqrt(2) m North- West 5. 500 m South He starts walking at constant speed 2m/s following these displacements in the given order. How far and in which direction is he from teh starting point after 10 minutes ?

A motorboay is racing towards north at 25 km/h and the water current in that region is 10km/h in the direction of 60^(@) east of south . Find the resultant velocity of the boat.

A person walks along an east-west street and a graph of his displacement from home is shown in figure. His average velocity for the whole time interval is:-

NCERT GUJARATI-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Represent graphically a displacement of 40 km , 30^(@) west of south .

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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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