Vectors (fundamentals)
Resultant vectors
Resultant vectors
1)
a) Make red vector and green vector
b)Make red vector and green vector by clicking on and dragging endpoints.
Note v and w are vectors equal to and respectively , they are parallel and have same magnitude.
c) place and together "nose to tail", endpoint of to start point of to connect them
c) Place end points of blue vector so that +
d) By inspecting diagram, state the components of
e) Check/Justify your answer to d) by writing out vector addition
f) Readjust v1 = 2v and w1 =-w to show u=2v - w
Position vector 2D
Position Vectors 2D
1) Using the applet above
Move F so that it has position Vector (2,1).
Move D so that it has position vector (-4,3).
Place the ends of the blue vector so that it become vector FD.
State the components of FD.
State FD in terms of vectors f and d.
2) Choose another 2 points for F and D. Share these with your partner then try all the same steps as in q1. Check you each get the same diagrams and same working in jotter.
3) f is the position vector of F and d is the position vector of D. For F= (4,-1) and D=(-2,5).
First find FD by writing it in terms of f and d and substituting in components.
Then check using the applet below
Vector journey 2d
Vector Journeys 2D
1) Using the applet above
and , move and about to help you visualise and answer the questions below.
In terms of and state
I) AB
II) BC
III) AD
IV) CD
V) AC
VI) DB
3D POSITION VECTORS (CUBE)
Position Vectors 3D
1) Using the applet above
List the coordinates of Points A,B,C,D,E,F,G,H,I
State the components of:
State in terms of vectors and .
2) Choose another 2 points for and place vector between them. Share these with your partner then both try to find components of chosen vector using position vectors
3) State the components of
State the components of