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Multiple Choice
Determine if the following statement is true or false: The vectors v and −v point in the same direction.
A
True
B
False
C
Cannot be determined
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. If v is represented as an arrow pointing in a certain direction, then the vector -v will have the same magnitude but point in the opposite direction.
Analyze the statement: The statement claims that vectors v and -v point in the same direction.
Evaluate the statement: Since -v is the vector v multiplied by -1, it reverses the direction of v. Therefore, v and -v cannot point in the same direction.
Conclude: Based on the analysis, the statement is false because v and -v point in opposite directions.