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Is this statement true or false?
The dot product of two perpendicular vectors is always zero.
True
False
If vector A = [2, 1, -3] and vector B = [-1, 0, 4], what is the dot product of A and B?
-12
6
7
9
If the dot product of two vectors A and B is zero, then their angle are parallel.
If the dot product of two vectors is negative, what can be said about their angle?
They are parallel.
They are perpendicular.
They are acute.
They are obtuse.
Find the range of cosecant function y=3cscxy=3\csc xy=3cscx.
[0, ∞)\left[0,\ \infty\right)[0, ∞)
(−∞, ∞)\left(-\infty,\ \infty\right)(−∞, ∞)
(−∞, −3] ∪ [3, ∞)\left(-\infty,\ -3\right]\ ∪\ \left[3,\ \infty\right)(−∞, −3] ∪ [3, ∞)
If the dot product of two non-zero vectors is positive, what can be said about their angle?
Fill in the blank:
The dot product of two vectors A and B is _______. If their magnitudes are both 5 and the angle between them is 60 degrees.
25
15.44
12.5
10.82
The dot product of two vectors is maximum when:
The vectors are perpendicular.
The vectors are parallel and in the same direction.
The vectors are parallel and in opposite directions.
The vectors are orthogonal.
The dot product of a vector with itself is equal to _______.
Its magnitude squared.
Its magnitude cubed.
Zero.
One.
If vector A = [3, 2] and vector B = [-1, 4], the dot product of A and B is ________.
-5
11
14
-2
It is done.