tically-upward vector b • Outwardly-directed unit vector ĉ 1.6 4 Vector magnitude and direction (orientation and sense). (Section 2.2) The figure to the right shows a vector v. Draw the following vectors. • ä: Same magnitude and same direction as v (a • b: Same magnitude and orientation as v, but different sense. • č: Same direction as v, but different magnitude. • d: Same magnitude as ỷ, but different direction (orientation). • e: Different magnitude and different direction (orientation) as v. v). %3D 1.7 4 Magnitude of a vector. (Section 2.2) Consider a real number r and a horizontally-right pointing unit vector i. The magnitude of the vector -ri is (circle one): positive negative non-negative non-positive. .8 Negating a vector. (Section 2.8) Complete the figure to the right by drawing the vector -b. Negating the vector b results in a vector with different (circle all that apply):

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From 1.6 from a b c d and e draw the following vector
I see and I remember.
I do and I understand."
Second, by imitation, which is easiest3;
Third by experience, which is the bitterest."
1.2 & What is a vector? (Section 2.2)
Two properties (attributes) of a vector are
magnitude and direction
1.3 4 What is a zero vector? (Section 2.3)
A zero vector 0 has a magnitude of 0/1/2/.
A zero vector õ has no direction.
True/False.
1.4 4 Unit vectors. (Section 2.4)
A unit vector has a magnitude of 0/1/2/o.
All unit vectors are equal. True/False.
1.5 4 Draw the following vectors:
• Long, horizontally-right vector a
• Short, vertically-upward vector b
• Outwardly-directed unit vector C
(Section 2.2)
1.6 4 Vector magnitude and direction (orientation and sense). (Section 2.2)
The figure to the right shows a vector v. Draw the following vectors.
• ã: Same magnitude and same direction as v (a = v).
• b: Same magnitude and orientation as v, but different sense.
• č: Same direction as v, but different magnitude.
• d: Same magnitude as ỷ, but different direction (orientation).
• ē: Different magnitude and different direction (orientation) as v.
1.7 & Magnitude of a vector. (Section 2.2)
Consider a real number r and a horizontally-right pointing unit vector i.
The magnitude of the vector -ai is (circle one): positive negative non-negative non-positive.
1.8 & Negating a vector. (Section 2.8)
Complete the figure to the right by drawing the vector -b.
Negating the vector b results in a vector with different (circle all that apply):
direction
orientation
sense
magnitude
Historical note: Negative numbers (e.g., -3) were not widely accepted until 1800 A.D.
57
Homework 1: Vectors - basis independent
Copyright © 1992-9017 Paul Mitiguy. All rights reserved.
Transcribed Image Text:I see and I remember. I do and I understand." Second, by imitation, which is easiest3; Third by experience, which is the bitterest." 1.2 & What is a vector? (Section 2.2) Two properties (attributes) of a vector are magnitude and direction 1.3 4 What is a zero vector? (Section 2.3) A zero vector 0 has a magnitude of 0/1/2/. A zero vector õ has no direction. True/False. 1.4 4 Unit vectors. (Section 2.4) A unit vector has a magnitude of 0/1/2/o. All unit vectors are equal. True/False. 1.5 4 Draw the following vectors: • Long, horizontally-right vector a • Short, vertically-upward vector b • Outwardly-directed unit vector C (Section 2.2) 1.6 4 Vector magnitude and direction (orientation and sense). (Section 2.2) The figure to the right shows a vector v. Draw the following vectors. • ã: Same magnitude and same direction as v (a = v). • b: Same magnitude and orientation as v, but different sense. • č: Same direction as v, but different magnitude. • d: Same magnitude as ỷ, but different direction (orientation). • ē: Different magnitude and different direction (orientation) as v. 1.7 & Magnitude of a vector. (Section 2.2) Consider a real number r and a horizontally-right pointing unit vector i. The magnitude of the vector -ai is (circle one): positive negative non-negative non-positive. 1.8 & Negating a vector. (Section 2.8) Complete the figure to the right by drawing the vector -b. Negating the vector b results in a vector with different (circle all that apply): direction orientation sense magnitude Historical note: Negative numbers (e.g., -3) were not widely accepted until 1800 A.D. 57 Homework 1: Vectors - basis independent Copyright © 1992-9017 Paul Mitiguy. All rights reserved.
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