1.4 Which of these is correct?
|A|²
(b) A X B+BXA=0
(c) A B C B C A
=
(d) a, a, a₂
(c) a
=
+
=
•
where is a unit vector.
i
pon
Figure 1.13 For Review Question 1.3.
(b)
(c)
i
3 1.6 Which of the following statements are meaningless?
(a) A B 2A = 0
(b) A B + 5 = 2A
♥
(c) A(A + B) + 2 = 0
(d) A A + B B = 0
1.7 Let F= 2a, 6a, + 10a, and G = a, + Ga, + 5a.. If F and G have the same unit
vector, G, is
(a) 6
(b) -3
(d) 0
(e) 6 1.9 The component of 6a, + 2a,
(a) - 12a, 9a, 3a.
(b) 30a, 40a,
(c) 10/7
(d) 2
(e) 10
NAC
———
3a, along 3a,
4a, is 1.3 If
determine:
(a) A
(b) C
(c)
2A
——
2B + C
4(A + B)
|C|
(d) A C B
H
(e) BX (A + C)
-
A = 2a,
3a₂
C = 3a, + 5a, + 7a.
20
1.4 If the position vectors of points T and S are 3a,
2a, + a, and 4a, + 6a, + 2a,, re-
spectively, find: (a) the coordinates of T and S, (b) the distance vector from 7 to 5. (c) the
distance between 7 and S. 3.4 Given that p, = x² + xy, calculate fsp.ds over the region y ≤ x², 0 1 3.5 Given that H = x²a, + y²a,, evaluate za ova (0, 0) to (1, 1). 1 Hdl, where L is along the curve y = x² from L