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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
Is this statement true or false?
If the dot product of two vectors A and B is zero, then their angle are parallel.
True
False
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.
The dot product of two perpendicular vectors is always zero.
Given vectors P = [2, 3] and Q = [1, -4], what is the angle between them in degrees (rounded to the nearest degree)?
26 degrees
37 degrees
53 degrees
74 degrees
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, ∞)
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.
If the dot product of two non-zero vectors is positive, what can be said about their angle?
The dot product of a vector with itself is equal to _______.
Its magnitude squared.
Its magnitude cubed.
Zero.
One.
It is done.