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

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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

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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

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4
Q
A
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5
Q

When calculating an angle between 2 vectors, what do we do to the 2 angles between each vector and x axis

A
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