VECTORS, LINES, PLANES Vector: collection of arrows with common length and direction - notations: a = a1 , a2 , a3 = a1 i + a2 j + a3 k a2 + a2 + a2 1 2 3 a - Unit vector in the direction of a: u = |a| - magnitude (length): |a| = - - - vector between the
Answers to even recommended problems from Chapter 10 Review
#4: (a) 11 i-4 jk (e) 3 35 (i) (b) 14 (f) 18 (j) (c) -1 (g) 0 (d) <-3 ,-7 ,-5 > (h) 33 i-21 j6 k (k)
comp a b=
ab 1 =- a 6
proj a b=
1 a=- ij-2 k 6 a
2
ab
96
o
ab 1 7 i2 j-k #6: Let a = j + 2k an
Trigonometric Formulas - Summary Sheet 0 30 45 60 90 radians sin cos
0
6 4 3 2
0 1 2
1
3
2
2
2 2
2
2
1 2 0
3
1
Remember that, on the unit circle, cosine represents the x coordinate and sine the y coordinate. Based on this, you can determine the values o