6.1 Introduction to vector Flashcards
What is magnitude of a vector?
Length
Describe arrow given vector AB
The tail is at point A and the head is at point B
What are opposite vectors?
Vectors with the same magnitude but opposite direction
How are opposite vectors written?
The vector equal to the negative of an opposite vector
Ex. Vector AB=-vector BA
What are equal vectors?
Vectors that are parallel and have the same direction
What does perpendicular vector mean?
Two vectors that make a 90 degree angle
How to find a unit vector in the direction of a vector?
Divide the vector by the magnitude
What does it mean express a vector as a scalar multiple? What formula is used for this?
Find the magnitude using the length and width of the vector and the Pythagorean theorem
Express a vector in terms of a unit vector?
Multiply the magnitude by the unit vector
Unit vector will be left in the final answer
Ex vector A=square root of 5 times unit vector A
Determine the direction of velocity given length and height
- Draw the scenario into a triangle
- Depending on which sides are given decide which trigonometric function to use to find the angle (the terminal arm of the angle is the direction
- State the direction in terms of north and south ex. [N65.6degreesE]
What is displacement?what are the units of displacement vector? How to determine the displacement vector?
The movement of something from one space to another
Units of displacement vector are meter travelled and angle
Multiply the vectors distance to its time
Answer should be vector B is 360km[N75 degreesE]
How to find total distance?
Add the metres travelled together
What does total displacement mean? How to find total displacement?
Total displacement is the resultant
Find total displacement using the cosine law or pythagorean theorem
When to use c^2=(x1-x2)+(y2-y1)
When you are given the coordinates of two points
Express vector A as a unit vector
Vector A=|A|A unit vector
