Garnett MATH 32A - EXAM I January 24, 2003, 1:00 p.m.
Name:(Last, First)
Signature
Quiz Section (or Time and TA’s Name)
Answers on exam. No books or notes. You may remove the scratch paper at the end of
your exam. (n) means the problem is worth n points.
1 (20)
2 (20)
3 (20)
4 (15)
5 (25)
Total
, (20) 1. Let
~a = ~i + ~j
and
~b = 3~i + 2~j + ~k.
Find a vector ~u such that
(i) ~u = c~b for some scalar c, and
(ii) ~a − ~u ⊥ ~b,
where ⊥ means orthogonal or perpendicular.
Draw a picture illustrating the relations between ~a, ~b and ~u.
Name:(Last, First)
Signature
Quiz Section (or Time and TA’s Name)
Answers on exam. No books or notes. You may remove the scratch paper at the end of
your exam. (n) means the problem is worth n points.
1 (20)
2 (20)
3 (20)
4 (15)
5 (25)
Total
, (20) 1. Let
~a = ~i + ~j
and
~b = 3~i + 2~j + ~k.
Find a vector ~u such that
(i) ~u = c~b for some scalar c, and
(ii) ~a − ~u ⊥ ~b,
where ⊥ means orthogonal or perpendicular.
Draw a picture illustrating the relations between ~a, ~b and ~u.
