provided figures A) a. u + v c.u - v b. u + v + w d. u - w B) b. u - v + w a. u - v c. 2u - v d. u + v + w

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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1) Sketch the vectors in a,b,c, and d using the
provided figures
A)
a. u + v
b. u + v + w
C.u -v
d. u- w
B)
a. u - v
b. u - v + w
c. 2u - v
d. u + v + w
2)
A) Linear combination Let u = 2i + j, v = i + j, and w =
i - j. Find scalars a and b such that u = av + bw.
Linear combination Let u =i - 2j, v = 2i + 3j, and w =
i + j. Write u = u, + u, where u, is parallel to v and u, is
parallel to w. (See Exercise 41.)
B) Velocity An airplane is flying in the direction 25° west of north
at 800 km/h. Find the component form of the velocity of the air-
plane, assuming that the positive x-axis represents due east and
the positive y-axis represents due north.
3)
Rectangle Find the measures of the angles between the diago
nals of the rectangle whose vertices are A = (1, 0), B = (0, 3),
C = (3, 4), and D = (4, 1).
4)
Triangle Find the measures of the angles of the triangle whose
vertices are A = (-1, 0), B = (2, 1), and C = (1, –2).
Transcribed Image Text:1) Sketch the vectors in a,b,c, and d using the provided figures A) a. u + v b. u + v + w C.u -v d. u- w B) a. u - v b. u - v + w c. 2u - v d. u + v + w 2) A) Linear combination Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av + bw. Linear combination Let u =i - 2j, v = 2i + 3j, and w = i + j. Write u = u, + u, where u, is parallel to v and u, is parallel to w. (See Exercise 41.) B) Velocity An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the velocity of the air- plane, assuming that the positive x-axis represents due east and the positive y-axis represents due north. 3) Rectangle Find the measures of the angles between the diago nals of the rectangle whose vertices are A = (1, 0), B = (0, 3), C = (3, 4), and D = (4, 1). 4) Triangle Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C = (1, –2).
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