HOMEWORK 1

1)

2)

3)

5)

4)

7) a) Determine the angle “”.

b) Determine the surface area of triangular face AFG.

c) Determine the vector component of parallel to the line AG. Also determine the normal component of F

to

the line AG. A force F

is directed along edge AH as shown (F=486 N)

d) What is the minimum distance from point A to the line EL?

F

A (2,2,4)

B (0,2,4) (0,0,4) C 1 m

L

1 m

2 m

(2,0,4) D

H (0,6,0)

G (5,7,0)

F (8,6,0) E (8,0,0) x

y

z

O

Dimensions in meters.

6)

9) Specify the magnitude of F3 and its direction angles so that the resultant force jFR

9 kN.

8) Observers on Earth at points A and B measure direction

cosines of position vectors to the space shuttle at C as

For : cos x

= 0.360, cos y

= 0.480 and cos z

<90°.

For : cos x

= –0.515, cos y

= – 0.606 and cos z

<90°.

Determine the x, y, z coordinates of the space shuttle

located at point C and also the shortest distance from point

C to direction AB.

A

B

C

x

y

z

(520, 640, 0) km