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If the dot product of two non-zero vectors is positive, 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, ∞)
Is this statement true or false?
The dot product of two perpendicular vectors is always zero.
True
False
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
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 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.
Fill in the blank:
The dot product of a vector with itself is equal to _______.
Its magnitude squared.
Its magnitude cubed.
Zero.
One.
If the dot product of two vectors is negative, what can be said about their angle?
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.