Vectors Flashcards
(5 cards)
1
Q
A vector is given by 5i +2j
Find the angle the vector makes with the x-axis, to 1 decimal place.
A
Tanθ=2/5
Arctan2/5 = θ = 21.8
2
Q
A vector is given by 4i +7j
Find the angle the vector makes with the y-axis, to 1 decimal place.
A
Tanθ=4/7
Arctan4/7 = θ = 29.7
3
Q
A particle moves from point A(1, 2) to point B(6, 5).
Find the angle the displacement vector makes with the horizontal line through A
A
-AB> = (6-1)i +(5-2)j = 5i +3j
Tanθ = 3/5
Arctan3/5 = θ = 30.96
4
Q
A
5
Q
When calculating an angle between 2 vectors, what do we do to the 2 angles between each vector and x axis
A