2. 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 haslength2. Denote a =BAand b =BC.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 .−→ −→ In a regular hexagon ABCDEF point G is the midpoint of line segment EF, point S isthe intersection of lines AC and BG, and |AS| |SC| = 3 : 4. The side of the hexagon haslength 2. Denote db = BC.BẰ=and Write the vector SG as a linear combination of vectors ♂ and V.Compute the length of the vector AČ.Compute the angle between vectors AC4and AF.

Answered: Image /qna-images/answer/a8cf33d3-d8a5-4510-87d2-d42b83958c62.jpg

2. 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 length2. Denote a =BAand b =BC. 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 .

2. 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 length2. Denote a =BAand b =BC. 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 .

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.1: Early Definitions And Postulates

Problem 41E: Let AB=a and BC=b. Point M is the midpoint of BC. If AN=23(AB), find the length of NM in terms of a...

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