What are Vectors MCQ | Linear Algebra for AI Multiple Choice Questions

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What is a vector in linear algebra?

A. A square matrix

B. A scalar quantity

C. A one-dimensional array of numbers

D. A two-dimensional grid of numbers

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What is the dimension of a vector?

A. The length of the arrow

B. The number of elements in the vector

C. The sum of elements

D. The magnitude squared

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Which operation is NOT defined for vectors?

A. Dot product

B. Addition

C. Multiplication of two vectors element-wise (Hadamard product is defined)

D. Scalar multiplication

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What does the dot product of two vectors produce?

A. A tensor

B. A vector

C. A scalar

D. A matrix

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If two vectors are orthogonal, their dot product is:

A. -1

B. 0

C. Equal to their magnitudes

D. 1

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