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In a regular hexagon ABCDEF point G is the midpoint of line segment EF, point S is the intersection of lines AC and BG, and |AS| |SC| = 3:4. The side of the hexagon has length 2. Denote = BA and b = BC. Write the vector SĠ as a linear combination of vectors and . Compute the length of the vector AC. Compute the angle between vectors AC and AF.

In a regular hexagon ABCDEF point G is the midpoint of line segment EF, point S is the intersection of lines AC and BG, and |AS| |SC| = 3:4. The side of the hexagon has length 2. Denote = BA and b = BC. Write the vector SĠ as a linear combination of vectors and . Compute the length of the vector AC. Compute the angle between vectors AC and AF.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In a regular hexagon ABCDEF point G is the midpoint of line segment EF, point S is the intersection of lines AC and BG, and |AS| |SC| = 3:4. The side of the hexagon has length 2. Denote = BA and b = BC. 6. Write the vector SG as a linear combination of vectors and Compute the length of the vector AC. Compute the angle between vectors AC and AF.
Transcribed Image Text:In a regular hexagon ABCDEF point G is the midpoint of line segment EF, point S is the intersection of lines AC and BG, and |AS| |SC| = 3:4. The side of the hexagon has length 2. Denote = BA and b = BC. 6. Write the vector SG as a linear combination of vectors and Compute the length of the vector AC. Compute the angle between vectors AC and AF.
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