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Multiple Choice
Determine if the following statement is true or false: The vectors and point in the same direction.
A
True
B
False
C
Cannot be determined
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Verified step by step guidance
1
Understand the concept of vector direction: A vector has both magnitude and direction. The direction of a vector is indicated by the direction of the arrow.
Consider the vector v: The vector v has a specific direction, which is determined by the orientation of the arrow.
Consider the vector -v: The vector -v is the negative of vector v, meaning it has the same magnitude but points in the opposite direction.
Compare the directions: Since -v is the negative of v, it points in the opposite direction to v.
Conclude the statement: Based on the comparison, the vectors v and -v do not point in the same direction, thus the statement is false.