Chapter 3, Problem 50P

Vector ${\stackrel{\to }{d}}_1$ is in the negative direction of a y axis, and vector ${\stackrel{\to }{d}}_2$ is in the positive direction of an x axis. What are the directions of (a) ${\stackrel{\to }{d}}_2$/4 and (b) ${\stackrel{\to }{d}}_1$/(−4)? What are the magnitudes of products (c) ${\stackrel{\to }{d}}_1$ · ${\stackrel{\to }{d}}_2$ and (d) ${\stackrel{\to }{d}}_1$ · ( ${\stackrel{\to }{d}}_2$/4)? What is the direction of the vector resulting from (e) ${\stackrel{\to }{d}}_1$ × ${\stackrel{\to }{d}}_2$ and (f) ${\stackrel{\to }{d}}_2$ × ${\stackrel{\to }{d}}_1$? What is the magnitude of the vector product in (g) part (e) and (h) part (f)? What are the (i) magnitude and (j) direction of ${\stackrel{\to }{d}}_1$ × ( ${\stackrel{\to }{d}}_2$/4)?