Skip to main content

Section Solutions

Vectors

  1. a parallellogram with diagonals

  2. \(\| x \| = \sqrt{10}\) and \(\|y\|=\sqrt{17}\)

  3. approximately 122 degrees

Lines

  1. no graph

  2. \(\oa l (t) = (1,3,5) + (1,1, -8)t\) (\(\infty\) possible solns)

  3. \(\| \oa l'(t) \| = 1\)

  4. \(\oa p (t) = (2,-1,4)-(1,0,0)t\) (\(\infty\) possible solns)

Functions

  1. a squished paraboloid

  2. an ellipse

  3. a water slide

  4. \((t+2)^3 + 1\)

  5. 75, the slope of the line (in three-space) that lies above the line \(\oa l\) and is tangent to the graph of \(g\) at the point \((5,-1,126)\)

  6. \(l\) = line

  7. \(c\) = circle, radius = 3

  8. \(e\) = ellipse

  9. \(s\) = spiral; a spring wrapped around the y-axis in three-space; speed is \(\sqrt{5}\)

login