Vector . Another vector has magnitude and makes an angle above the positive -axis. If…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

Vector

\mathbf{A}=8\,\hat i -6\,\hat j

. Another vector

\mathbf{B}

has magnitude

b

and makes an angle

60^{\circ}

above the positive

x

-axis. If the

y

-component of the resultant

\mathbf{A}+\mathbf{B}

is zero, determine

b

(to one decimal place). (a)

12.0

(b)

6.0

(c)

6.9

(d)

5.2