vector powerpoint

8/17/2019 vector powerpoint

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Figure 3-1. Caption: Car traveling on a road, slowing down to round the curve.

The green arrows represent the velocity vector at each position.



Figure 3-2. Caption: Combining vectors in one dimension.



Figure 3-3. Caption: person wal!s 1"." !m east and then #." !m north.

These two displacements are represented by the vectors D1 and D2, which are

shown as arrows. The resultant displacement vector, D$, which is the vector

sum o% D1 and D2, is also shown. &easurement on the graph with ruler and

protractor shows that D$ has a magnitude o% 11.2 !m and points at an angle '

( 2)* north o% east.



Figure 3-#. Caption: The resultant o% three vectors: v$ ( v1 + v2 + v3.



Figure 3-. Caption: &ultiplying a vector v by a scalar c gives a vector whose

magnitude is c times greater and in the same direction as v or opposite

direction i% c is negative.



Figure 3-). Caption: The negative o% a vector is a vector having the same

length but opposite direction.

Figure 3-/. Caption: 0ubtracting two vectors: v2 v1.



Figure 3-1". Caption: $esolving a vector into its components along an

arbitrarily chosen set o% x and y aes. The components, once %ound,

themselves represent the vector. That is, the components contain as muchin%ormation as the vector itsel%.



Figure 3-11. Caption: Finding the components o% a vector using trigonometric

%unctions.



Figure 3-12. Caption: The components o% v ( v1 + v2 are

v ( v1 + v2

vy ( v1y + v2y



Figure 3-13. Caption: 4ample 32. a The two displacement vectors, 51 and

52. b 52 is resolved into its components. c 51 and 52 are added graphically

to obtain the resultant 5. The component method o% adding the vectors is

eplained in the 4ample.

nswer: The and y components o% her displacement are +23.# !m and -1/.)

!m.

The magnitude o% her displacement is 3"." !m, at an angle o%

3/.#* below the ais.



Figure 3-16.

nswer: The and y components o% the displacement are 7"" !m and -)#"

!m.

lternatively, the magnitude o% the displacement is 7" !m, at an

angle o% #1* below the ais.

vector powerpoint

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