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Phy-XI-4-5 unit vectors
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Concept of unit vectors, its significance and applications are introduced in this lecture

State topper in school exams, selected in IIT Kharagpur, M.Sc., 30 yrs in teaching.

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9694212435
MS
topic Resolution of vector is not taught
4 months ago
It is taught. Lecture 4-03 components of a vector is resolution of vectors.
MS
Mamta Singh
4 months ago
projectile motion in different situations
MS
Mamta Singh
4 months ago
projectile motion in different situations
sir if there is two dimensional how can I get magnitude
7 months ago
By using relation r = root a*2 + b*2
please sir discuss ncet problems in this course
1. PHYSICS Class XI Pradeep Kshetrapal

2. Chapter 4. Motion in a plain VECTORS Lesson: XI-4-5 Concept of Unit vector

3. Concept of Unit Vector

4. Any measurable quantity in Physics is expressed as combination of two identities 1st A standard measurement of its own and 2nd Its multiplier, to show the size.

5. The quantity Distance- 6 Kilometer give information that 1. Our Unit of measurement is Kilometer (and not- meter, foot or mile) and 2. The distance is 6 times multiplying the standard unit. Note that: Here Kilometer has to have the same nature as of Distance. It can not be mass or time.

6. Similarly any vector quantity also has an arbitrary unit and a multiplier If I say my position is 5 meters south of origin, then 1 meter towards south is unit in vector but if I say my position is 8 steps south of origin then 1 step towards south is unit in vector. This unit can be made in combination as well. Like A.U., L.Y.

7. NOTATIONS just like a qty- number x Unit a Vector -number x Unit vector U nu Here is a unit vector of U. As per definition its magnitude is One. Its nature and direction is same as main vector

8. U=nu Unit Vector it-- and magnitude of vector n =- a = 6a

9. Universal notations for unit vectors A unit vector in direction of +x is noted as In direction of +y is noted as) -n direction of +Z is noted as k

10. Here vector Ax is x times unit vector hence it is Axl and its direction is in the X direction. Similarly Ay is y times unit vector hence it is yj and its direction is in the Y direction. Similarly a vector in Z direction Ag can be represented as AA Here Ar, Ay, Ag are magnitude of full vectors Ax , Ay, Az in their respective directions Ay Ayj

11. Vector A can be written according to triangle rule of additions as B = Bx+ By or By Byj

12. We can also find out unit vector of any given vector like : find unit vector of A + 2-k Magnitude of given vector is V32 + 22 122v3 Therefore according to relation u- the unit vector is K 2V3