the table gives the x and y componentsof two vectors A and B: vector x component
ID: 1992042 • Letter: T
Question
the table gives the x and y componentsof two vectors A and B:vector x component y component
A +15 units +15 units
B +15 units -10 units
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which one of the following statements concerning these vecors is true?
a. the vector A+B makes a 34 degree angle with thepostive x
b. the two vectors have different magnitudes.
c. A makes a 56 degree angle with the positive x axis.
d.B makes a 34 degree angle with the positive y axis
e. the vector A-B has no x component
plus which one of the following is the longest length?
a. 10 to the 5th power micrometers
b. 10 to the fourth power cm
c. 10 to the 0 power meters
d. 10 to the 7th power nanometers
10 to the 4th power millimeters
Explanation / Answer
E IS THE ANSWER sum of A and B give 15+15 in x component = 30 units and 15-10 in y component = 5 units so angle = arctan(5/30) = 9.5 degrees magnitude of A = sqrt(15^2 + 15^2) = 15sqrt(2) = 21.21 magnitude of B = 18.02 angle of A = arctan(15/15)= 45 degrees angle of B arctan(- 10/15)= 33.4 degrees with negative y vector A-B = 15-15 x component = ZERO or NO x component 10 POWER 4 CENTIMETRE IS THE LONGEST
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