
Understanding Determinants and Parallelograms

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main goal of the video?
To calculate the volume of a cube.
To explore the history of matrices.
To learn how to solve linear equations.
To understand the relationship between the determinant and the area of a parallelogram.
Tags
CCSS.HSN.VM.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which vectors define the parallelogram in the video?
Vectors AB and AC
Vectors AB and CD
Vectors AD and BC
Vectors AC and BD
Tags
CCSS.HSN.VM.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the area of the parallelogram related to the determinant?
The area is unrelated to the determinant.
The area is the absolute value of the determinant.
The area is twice the determinant.
The area is half the determinant.
Tags
CCSS.6.G.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in calculating the area of the parallelogram?
Subtract the area of the triangles.
Find the area of the larger rectangle.
Calculate the perimeter of the parallelogram.
Determine the length of the vectors.
Tags
CCSS.3.MD.C.7D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is subtracted from the rectangle's area to find the parallelogram's area?
The perimeter of the parallelogram.
The length of the vectors.
The volume of the parallelogram.
The areas of the triangles and rectangles not part of the parallelogram.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the determinant of a 2x2 matrix?
ad - bc
ab + cd
ac - bd
ab - cd
Tags
CCSS.7.NS.A.2D
CCSS.8.NS.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What assumption is made about the values of a, b, c, and d?
They are positive.
They are negative.
They are zero.
They are equal.
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