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8 Questions on Adjustment Computations 1 - Assignment 1 | SURE 372, Assignments of Engineering

Material Type: Assignment; Class: Adjustment Computations 1; Subject: Surveying Engineering; University: Ferris State University; Term: Fall 2005;

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1. If A = {1, 2, 3} determine whether each of the following is true or false and give reasons for your
answer.
a) 3 A
b) 3 A
c) {3} A
d) A
2. Find A B and A B if A and B are as follows:
a) A = {2,5,3}, B = {3, 1, 6}
b) A = {a, b, c, d}, B = {d, e, a}
3. If R = {1, 5, 6}, S = {2, 3, 4}, and T = {6, 2} find:
a) R (S T)
b) T (R S)
c) (R S) (R T)
4. Use the Venn diagram to represent sets R, S, and T. Shade the region that represents each of the
following:
a) (R S) T
b) R (S T)
c) (R S) (R T)
5. Given the following vectors, kjiA
r
r
r
r
623 += and kjiB
r
r
r
r
+= 34
Compute
r
r
A
B
,
r
r
A
B
×
and the angle between A and B
6. Determine the values of “a” so that kjiaA
r
r
r
r
+= 2 and kjaiaB
r
r
r
r
42 += are
perpendicular.
7. Find the direction cosines of the line joining the points (3, 2, -4) and (1, -1, 2).
8. Evaluate the following:
a)
(
)
kij
r
r
r
432 ×
b)
(
)
kji
r
r
r
×+ 2
c)
(
)
(
)
jiki
r
r
r
r
242 +×
SURVEYING ENGINEERING
FERRIS STATE UNIVERSITY
SURE 372 Adjustment Computations 1 Fall 2005/06
Homework #1

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Download 8 Questions on Adjustment Computations 1 - Assignment 1 | SURE 372 and more Assignments Engineering in PDF only on Docsity!

  1. If A = {1, 2, 3} determine whether each of the following is true or false and give reasons for your answer. a) 3 ∈ A b) 3 ⊂ A c) {3} ⊂ A d) ∅ ∈ A
  2. Find A ∪ B and A ∩ B if A and B are as follows: a) A = {2,5,3}, B = {3, 1, 6} b) A = {a, b, c, d}, B = {d, e, a}
  3. If R = {1, 5, 6}, S = {2, 3, 4}, and T = {6, 2} find: a) R ∩ (S ∪ T) b) T ∩ (R ∪ S) c) (R ∪ S) ∩ (R ∪ T)
  4. Use the Venn diagram to represent sets R, S, and T. Shade the region that represents each of the following: a) (R ∩ S) ∩ T b) R ∪ (S ∩ T) c) (R ∩ S) ∪ (R ∩ T)
  5. Given the following vectors, A i j k

r (^) r r r = 3 + 2 − 6 and B i j k

r (^) r r r = 4 − 3 + Compute

r r AB ,

r r A × B and the angle between A and B

  1. Determine the values of “a” so that A ai j k

r (^) r r r = − 2 + and B ai aj k

r (^) r r r = 2 + − 4 are perpendicular.

  1. Find the direction cosines of the line joining the points (3, 2, -4) and (1, -1, 2).
  2. Evaluate the following:

a) j ( i k )

r r r 2 × 3 − 4

b) ( i j ) k

r r r

  • 2 ×

c) ( i k ) ( i j )

r r r r 2 − 4 × + 2

SURVEYING ENGINEERING

FERRIS STATE UNIVERSITY

SURE 372 Adjustment Computations 1 Fall 2005/

Homework