Statics Exam 1

A force of magnitude F, directed along a unit vector U, is given by F = ______ . F (U) U / F F / U F + U F - U

A

A position vector, rPQ, is obtained by Coordinates of Q minus coordinates of P Coordinates of P minus coordinates of Q Coordinates of Q minus coordinates of the origin Coordinates of the origin minus coordinates of P

A

The Dot product can be used to find all of the following except ____ . sum of two vectors angle between two vectors component of a vector parallel to another line component of a vector perpendicular to another line

A

The dot product of two vectors P and Q is defined as P Q cos θ P Q sin θ P Q tan θ P Q sec θ

A

The dot product of two vectors results in a _________ quantity. scalar vector complex zero

A

Two points in 3 - D space have coordinates of P (1, 2, 3) and Q (4, 5, 6) meters. The position vector rQP is given by {3 i + 3 j + 3 k} m {- 3 i - 3 j - 3 k} m {5 i + 7 j + 9 k} m {- 3 i + 3 j + 3 k} m {4 i + 5 j + 6 k} m

B

Find the dot product of the two vectors P and Q. P = {5 i + 2 j + 3 k} m Q = {-2 i + 5 j + 4 k} m -12 m 12 m 12 m2 -12 m2 10 m2

C

Force vector, F, directed along a line PQ is given by (F/ F) rPQ rPQ/rPQ F(rPQ/rPQ) F(rPQ/rPQ)

C

If a dot product of two non-zero vectors is 0, then the two vectors must be _____________ to each other. parallel (pointing in the same direction) parallel (pointing in the opposite direction) perpendicular cannot be determined.

C

What is not true about an unit vector, UA ? It is dimensionless. Its magnitude is one. It always points in the direction of positive X- axis. It always points in the direction of vector A

C

If F = {10 i + 10 j + 10 k} N and G = {20 i + 20 j + 20 k } N, then F + G = { ____ } N 10 i + 10 j + 10 k 30 i + 20 j + 30 k -10 i - 10 j - 10 k 30 i + 30 j + 30 k

D

If a dot product of two non-zero vectors equals -1, then the vectors must be ________ to each other. parallel (pointing in the same direction) parallel (pointing in the opposite direction) perpendicular cannot be determined.

D