Froggy Jumps
Vectors (Uppersixth Art Pure Maths)Online version
Test your knowledge on vector representation in pure mathematics!
2
Which notation is commonly used for vectors?
3
What is the dot product of two vectors?
4
How do you represent a vector in 3D space?
5
What is the unit vector?
6
What is vector addition?
7
What does the cross product of two vectors yield?
8
Which of the following is a property of vectors?
9
What is the magnitude of a vector?
10
What is the angle between two orthogonal vectors?
11
What is the purpose of resolving a vector?
12
In vector resolution, which components are typically calculated?
13
What is the formula for resolving a vector at an angle θ?
14
What does the 'magnitude' of a vector represent?
15
If a vector has a magnitude of 10 and is at 30 degrees, what is its horizontal component?
16
What is the resultant vector?
17
Which method is commonly used for vector resolution?
18
What does the term 'component' refer to in vector resolution?
19
How do you find the vertical component of a vector?
20
What is the angle of a vector with components (3, 4)?
21
What does a Cartesian vector represent in mathematics?
22
In Cartesian notation, how is a vector typically expressed?
23
What is the standard notation for a vector in 3D space?
24
Which of the following is a property of Cartesian vectors?
25
What is the zero vector in Cartesian coordinates?
26
How do you denote the magnitude of a vector in Cartesian notation?
27
What is the result of adding two vectors in Cartesian notation?
28
What is the unit vector in the direction of vector v?
29
Which operation is not defined for Cartesian vectors?
30
What is the dot product of two vectors A and B?
31
What is the general form of a vector equation of a line?
32
In the vector equation r = a + tb, what does 'a' represent?
33
What does 'b' represent in the vector equation r = a + tb?
34
If t = 0 in the equation r = a + tb, what point do you get?
35
What type of geometry primarily uses vector equations of lines?
36
Which of the following is NOT a component of a vector equation of a line?
37
How can you express a line parallel to a vector in vector form?
38
What is the parameter 't' used for in the vector equation?
39
In vector equations, what does the term 'r' stand for?
40
Can a vector equation of a line represent a line in 3D space?
41
What is the formula to find the slope of a line through two points?
42
If point A is (2, 3) and point B is (4, 7), what is the slope?
43
What does the slope of a line represent?
44
Which equation represents a line in slope-intercept form?
45
What is the y-intercept if the line's equation is y = 3x + 4?
46
How do you find the midpoint between two points?
47
What is the general form of a line's equation?
48
If two points have the same x-coordinate, what is the slope?
49
What is the significance of the slope being negative?
50
What is the distance formula between two points?
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