Two vectors and each have magnitude

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Two vectors

\vec A

and

\vec B

each have magnitude

4\,\text{units}

. A measurement gives their dot product as

-0.10\,\text{unit}^2

with an instrumental uncertainty of

\pm0.05\,\text{unit}^2

. Which of the following statements best describes the orientation of

\vec A

with respect to

\vec B

? (a) They must be anti-parallel (angle

180^{\circ}

). (b) The angle between them is less than

30^{\circ}

. (c) The given uncertainty is too large to determine their relative orientation. (d) They are nearly perpendicular to each other.

Related theory

Dot Product
Vectors
Scalar product
Vector Algebra
Dot product of two vectors
Vector Operations

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