LSU Math 1022 Section 10.4 Vectors

Given a nonzero vector v equals a i plus bj, the unit vector in the same direction as v is given by which of the following​ expressions? A. ||v||/v B. v/||v|| C. i+j D. i+j/2

B

Which of the following statements is not​ true? A.The magnitude of a vector is the distance between the initial point and the terminal point of the vector. B.The initial point of a vector is sometimes called the tail of the vector. C.The magnitude of a vector can be a negative value. D.A vector whose magnitude is 0 is called the zero vector.

C

Which of the following statements is​ true? A.Two vectors are equal if they are parallel. B.Two vectors are equal if they have the same magnitude. C.Two vectors are equal if they have the same magnitude and the same direction. D. Two vectors are equal if they have the same terminal point.

C

If a>0 and b<0, then which of the following describes the direction angle of the vector v=ai+bj? A.theta equals pi minus tangent Superscript negative 1 b over a B.theta equals tangent Superscript negative 1 b over a C.theta equals pi plus tangent Superscript negative 1 b over a D.theta equals 2 pi minus tangent Superscript negative 1 b over a

D

Which of the following statements describes a vector that is in standard​ position? A.A vector is in standard position if the angle between the positive​ x-axis and the vector is positive. B.A vector is in standard position if the initial point lies along the positive​ x-axis. C.A vector is in standard position if the terminal point of the vector lies in Quadrant I. D.A vector is in standard position if the initial point coincides with the origin.

D