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Learn
More - FAQs
- Order
Now!
All vectors have 2 components: size(magnitude) and direction. We can show vectors by drawing a line showing the size of the vector, at an angle.
Tony's car travelled 5 miles due north on a tank of petrol before it ran out. Draw the vector representing this.
The car travels N, so put an arrow facing NORTH!
We could also draw this diagram at the angle of 90
to the horizontal, i.e. above the horizon.
If we wanted to, we could place vectors in a triangle and use good ol' Pythagoras' Theorem to find a third side and then SOHCAHTOA (see sin cosine and tan) to find the angle "above the horizon".
In the following triangle, find the vector a and angle A(not using the same triangle notation normally used).
a
= c
a
a = 9.
tan A = 15/9
A = 59.04
1) Two vectors are equal if they are the same size and point the same way.
2) Tony's car could travel from X to Y, then Y to Z. But he could travel straight from X to Z. The line
is called the resultant of
and
. But if the length
3) If two vectors have the same magnitude but face STRICTLY OPPOSITE directions, they are inverse.
...........................................
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