Which of the following is correct?
A)Multiplying a vector by a scalar gives a scalar result.
B)Multiplying a vector by a vector always gives a vector result.
C)Multiplying a vector by a vector never gives a scalar result.
D)The only type of vector multiplication that gives a scalar result is the dot product.
E)The only type of vector multiplication that gives a vector result is the cross product.

Question

Quizplus · Accepted Answer

Multiplying two vectors can give both scalar and vector results, depending on the multiplication operation used. The dot product of two vectors gives a scalar result, while the cross product gives a vector result. Therefore, statement A is incorrect. Statement B is incorrect because the result of multiplying two vectors can vary based on the type of multiplication operation used. Statement C is incorrect because the dot product of two vectors can produce a scalar result. Statement E is incorrect because the cross product is not the only type of multiplication that gives a vector result (the scalar triple product also gives a vector result).

Which of the Following Is Correct