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This module contains review questions and answers keyed to the module titled GAME 2302-0130: Putting the Game-Math Library to Work .
The questions and the answers are connected by hyperlinks to make it easy for you to navigate from the question to the answer and back again.
What is the length of the vector represented by (3,0)T where the upper-case T indicates "transpose" and is often shown as an upper-case superscript T.
True or False: When a 2D vector is aligned with the x axis, the column matrix that represents it has a non-zero value in the first element, and zero for the second element.
True or False: When a 2D vector is aligned with the y axis, the column matrix that represents it has a non-zero value in the first element, and zero for thesecond element.
What is the length of the vector represented by (0,4)T
What is the length of the hypotenuse of a right triangle whose two sides are 6 and 8?
What is the length of the vector represented by ( 4, 3 )T
Given: The length of the vector v is often represented as |v|
Question: What is the value of |( 4, 3 )T|
True or False: Given vectors u and v, the following is a true statement where>= indicates "greater than or equal"
|u + v|>= |u| + |v|
True or False: Three dimensional vectors have length.
Given:
True or False: The following statement is true.
|(x,y,z)T| = sqrt(x^3 + y^3 + z^3)
What is the value of |(2,-4,4)T|
True or False: Length is a property of a vector and is not a property of the column matrix that is used to represent it.
True or False: The length of a vector can be positive or negative.
True or False: Two vectors that are equal to each other must have the same length.
True or False: Two vectors that have the same length must be equal to each other.
True or False: If v is a vector, then -v is a vector that is perpendicular to v.
Given: the vector represented by (4,0)T
True or False: The vector is parallel to the X axis of the coordinate frame we are using. Often this is horizontal, pointing right. (Or, you might say that the vector is oriented at 0 degrees if you consider due East to be 0degrees.)
Given: The orientation of a vector is usually expressed as an angle with the positive x axis of a coordinate frame. There are two ways of doing this:
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