Use the figure to find each vector: u - v. Use vector notation as in Example 4.
Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
- OLD 1. Angles and the Trigonometric Functions Coming soon
- OLD 2. Trigonometric Functions graphs, Inverse Trigonometric Functions Coming soon
- OLD 3. Trigonometric Identities and Equations Coming soon
- OLD 4. Laws of Sines, Cosines and Vectors Coming soon
- OLD 5. Complex Numbers, Polar Coordinates and Parametric Equations Coming soon
- NEW (not used) 7. Laws of Sines, Cosines and Vectors Coming soon
- NEW (not used) 8. Vectors Coming soon
- NEW(not used) 9. Polar equations Coming soon
- NEW (not used) 11. Graphing Complex Numbers Coming soon
8. Vectors
Geometric Vectors
Multiple Choice
Given that segment is units long, what is the length of if and are collinear and is a part of where is units long?
A
units
B
units
C
units
D
units
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Verified step by step guidance1
Identify the given segments and their relationships: segment \( TQ \) is 26 units long, and segment \( TV \) is 32 units long, with \( TQ \) being part of \( TV \).
Since \( TQ \) and \( QV \) are collinear and \( TQ \) is part of \( TV \), the length of \( TV \) is the sum of the lengths of \( TQ \) and \( QV \). This can be expressed as: \( TV = TQ + QV \).
Substitute the known values into the equation: \( 32 = 26 + QV \).
To find the length of \( QV \), isolate \( QV \) by subtracting \( 26 \) from both sides: \( QV = 32 - 26 \).
Simplify the expression to find the length of \( QV \).
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