SANTA

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