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Unformatted text preview: M408M Fall 2009
Assignment 4 Due Thursday, October 1 Be sure that you have read and understood sections 13.3, 13.4, and 13.5 and
worked the assigned text exercises before you complete this assignment. You must Show sufficient work in order to receive full credit for a problem.
Please write legibly and label the problems clearly. Circle your answers when
appropriate. Multiple papers must be stapled together. Write your name and
the time of your discussion section on each page. Homework is to be turned
in at the beginning of the discussion section. 1.(a) Find the angle between the diagonal of a cube and one of its edges. (b) Find the angle between the diagonal of a cube and the diagonal of one
of its faces. 2. Suppose that 53 and b are nonzero vectors.
(a) Under what circumstances is compab = compch (b) Under what circumstances is projag = projgd'? :1: — 1 — 5 1
3. Let L1 be the line given by symmetric equations y Z + a: — 2 — 4
= 11—3 = Z — Determine whether the lines are parallel, intersecting7 or skew. and let L2 be the line given by symmetric equations 4. Find the equation of the plane through the point (—1.4, 2) and containing
the line of intersection of the planes 4.17 — y + z : 2 and 21: + y — 22 = 3. MWKM— Assrxwwwf‘é SAL/J7me;
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 Fall '07
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