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