| Vector Knowledge | Identifying Vectors | Equilibrium of Forces | Compass Headings | Story Problems |
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What is a vector
What is a line segment with an assigned direction?
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What is V=<2,3>
Give x and y coordinates for the vector shown.
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F3= <-10,-21>
Find the equalizing force:
F1= <4,7>; F2= <6,14> |
E 45 N, N 45 E
Give a compass heading for the shown angle.
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5 mph
A boat wants to cross a river and end up directly across from where it starts. The river's current is 3 mph and the boat's crossing speed is 4 mph, but how fast is the boat's speedometer going to read?
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What is
Identify the initial and terminal points of the vector shown.
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What is V=<6,5>
Give x and y coordinates for the vector shown.
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F4= <-19,-14>
Find the equalizing force:
F1= <1,3>; F2= <7,4> F3= <11,7> |
E 30 S
Give a compass heading for the shown angle.
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About 479.9 mph
An airplane heads E and enters the jet stream with a 200 mph wind speed. If the stream hits the plane at a 45 deg. angle from the plane's NW, how fast is the plane really going if its speedometer reads 600?
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What is magnitude
What is another term for the length of a vector?
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What is (8,7)
Find the resultant vector's terminal point.
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F5= <-3,7>
Find the equalizing force:
F1= <-4,6>; F2= <3,-7> F3= <-6,8>; F4= <10,-14> |
S 25 W
Give a compass heading for the shown angle.
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3.5 miles N of where he would have ended, had he not been hit by wakes
A man swims E in a still lake at 6 mph. If he swims for an hour but gets hit by a 7 mph wake halfway through and for the rest of his swim, where will he end up in comparison to not being hit by the wake?
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What is the Pythagorean Theorem
One can easily find the magnitude of a vector by using this equation.
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What is (20,8)
Find the resultant vector's terminal point.
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F4= <-4x,y)
Find the equalizing force:
F1= F3= <-4x,3y> |
A= E 20 S
B= N 20 E
Give a compass heading for both shown angles.
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10 hours, even though the boat is moving faster, it is taking a longer route to shore because the waves naturally push it southward
A fishing boat is heading E toward shore at 35 mph. 20 mph waves are pushing it from the SW at a 30 deg. angle. If the shore is still 350 miles away, how long until the boat reaches land?
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What is 17
Find the magnitude of the vector V=<8,15> and graph it.
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What is (30,27)
If there are three vectors with terminal points (7,6), (13,4), and (10,17), what is the resultant vector's terminal point?
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F5= -20i-j
Find the equalizing force:
F1= 15i+4j; F2= 7i+j F3= 8i-11j; F4= -10i+7j |
A= N 25 W
B= W 25 N
Give a compass heading for both shown angles.
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About 18.9 miles E and 7.4 miles N of where the southernmost of the two birds started.
Two birds fly through the air at 15 mph. The wind is going E at 6 mph. One bird starts 25 mi. N of the other and flies E 55 S. If the other bird flies E 30 N, approximately when will the two birds meet?
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