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Which of the following statements is true?
The zero vector is a unit vector
A vector can have multiple unit vectors in its direction
The unit vector of a vector has the same direction as the vector
Unit vectors are only defined in two-dimensional spaces
Is this statement true or false?
The magnitude of a unit vector is 1
True
False
Which of the following vectors is not a unit vector?
i
k
j
i+j
If u is a unit vector, the magnitude of 3u is 3
If a and b are unit vectors, what is the possible range for the magnitude of their vector sum a + b?
0 to 1
1 to 2
0 to 2
2 to 3
Which of the following is true about a unit vector?
It can have a negative magnitude
It is always perpendicular to other vectors
It can be multiplied by any scalar without changing its direction
It always points in the direction of the vector's tail
In a three-dimensional space, how many unit vectors are there along the coordinate axes?
1
2
3
0
Fill in the blanks.
The unit vector perpendicular to i in a two-dimensional plane is ___.
-i
The unit vector perpendicular to j in a two-dimensional plane is ___
-j
Fill in the blanks
The dot product of two unit vectors is always ___
-1
It is done.