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Is this statement true or false?
If vector A = [3, -2, 1] and vector B = [1, 2, 3], then they are orthogonal.
True
False
Given two non-zero vectors A and B, if their dot product is zero, what can be concluded?
A and B are parallel.
A and B are anti-parallel.
A and B are orthogonal.
A and B are collinear.
Fill in the blank:
If vector A is orthogonal to both vector B and vector C, then the relationship between vectors B and C are ________.
Orthogonal to each other
Parallel
Linearly dependent
Opposite directions
Which of the following pairs of vectors are orthogonal?
[2, 0, -1] and [1, 2, 1]
[0, 1, 0] and [0, 0, 1]
[1, 1, 1] and [1, -1, 1]
[3, 4] and [-4, 3]
In a 3-dimensional space, two vectors are orthogonal to the vector [1, -2, 3].
In a 3D space, if vector A is orthogonal to vectors B and C, which of the following is true?
A is parallel to the plane defined by B and C.
A is perpendicular to the plane defined by B and C.
A lies on the line defined by the cross product of B and C.
In a 2D Cartesian coordinate system, the pair [0, 2] and [2, 0] of vectors are ________.
Orthogonal
Double
None
If vectors A, B, and C are pairwise orthogonal, which of the following is true?
A + B = C
A - B = C
A + B + C = 0
A × B = C
If two vectors are orthogonal, what can you say about the angle between them?
The angle is acute.
The angle is obtuse.
The angle is 90 degrees.
The angle is 180 degrees.
If vectors A and B are orthogonal, then the value of their dot product is ________.
0
1
-1
It is done.