(a) Submit answer on paper.
(b) Submit answer on paper.
(c)5.3 Consider the following vectors:
A goes from (0, 2) to (4, 2)
B from (1, í2) to (2, 1)
C from (í1, 0) to (0, 0)
D from (í3, í5) to (2, í2)
E from (í3, í2) to (í4, í5)
F from (í1, 3) to (í3, 0)
(a) Draw the vectors. Using your sketch and your knowledge of graphical vector addition and subtraction, which vector listed
above is equal to: (b) A + B? (c) EíF? (d) í(B + C)? (e) Which two vectors sum to zero?(a) Submit answer on paper.
(b) i. A
ii. B
iii. C
iv. D
v. E
vi. F
(c) i. A
ii. B
iii. C
iv. D
v. E
vi. F
(d) i. A
ii. B
iii. C
iv. D
v. E
vi. F
(e) i. A and D
ii. B and C
iii. B and E
iv. B and F
v. C and F
vi. E and F5.4 The racing yacht America (USA) defeated the Aurora (England) in 1851 to win the 100 Guinea Cup. From the starting buoy
the America's skipper sailed 400 meters at an angle 45° west of north, then 250 meters at an angle 30° east of north, and
finally 350 meters at an angle 60° west of north. Draw the path of the America on a coordinate system as a set of vectors
placed tip to tail. Then draw the total displacement vector.Section 6 - Adding and subtracting vectors by components
6.1 Add the following vectors:
(a) (12, 5) + (6, 3)
(b) (í3, 8) + (6, í2)
(c) (3, 8, í7) + (7, 2, 17)
(d) (a,b,c) + (d,e,f)
(a) ( , )
(b) ( , )
(c) ( , , )
(d)
6.2 Solve for the unknown variables:
(a) (a,b) + (3, 3) = (6, 7)
(b) (11, c) + (d, 2) = (−12, í3)
(c) (5, 5) + (e, 4) = (2, f)
(d) ( 4, í3) í (5, g) = (h, 2 )
(a) a = ; b =