
Understanding Linear Combinations and Planes

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

Mia Campbell
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main problem discussed in the video?
Determining if vectors u and v are orthogonal.
Calculating the magnitude of vector w.
Finding the value of h for which vector w is in the plane spanned by vectors u and v.
Finding the angle between vectors u and v.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for vector w to be a linear combination of vectors u and v?
Vector w is parallel to vectors u and v.
Vector w is the cross product of vectors u and v.
Vector w is perpendicular to vectors u and v.
Vector w can be expressed as a sum of scalar multiples of vectors u and v.
Tags
CCSS.HSN.VM.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many equations are formed to express vector w as a linear combination of vectors u and v?
Four equations
Three equations
Two equations
One equation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of solving the first two equations in the system?
To find the value of h directly.
To determine if vectors u and v are linearly independent.
To find the scalars c1 and c2.
To check if vector w is orthogonal to vectors u and v.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed to simplify the augmented matrix?
Matrix subtraction
Matrix multiplication
Matrix addition
Row reduction
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of c1 found in the solution?
2
3
-3
-2
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of c2 found in the solution?
3
-3
-2
2
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