35. Volume of a Fish Tank A fish tank in an avant-garde restau- rant is in the shape of a parallelepiped with a rectangular base that is 300 cm long and 120 cm wide. The front and back faces are vertical, but the left and right faces are slanted at 30° from the vertical and measure 120 cm by 150 cm. (See the figure.) (a) Let u, v, and w be the three vectors shown in the figure. Find u (v x w). [Hint: Recall that u-v = |u||v|cos 0 and u x v| = |u||v|sin 0.] (b) What is the capacity of the tank in liters? [Note: 1 L = 1000 cm².] 30°

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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35. Volume of a Fish Tank A fish tank in an avant-garde restau-
rant is in the shape of a parallelepiped with a rectangular
base that is 300 cm long and 120 cm wide. The front and
back faces are vertical, but the left and right faces are
slanted at 30° from the vertical and measure 120 cm by
150 cm. (See the figure.)
(a) Let u, v, and w be the three vectors shown in the
figure. Find u (v x w). [Hint: Recall that
u-v = |u||v|cos 0 and u x v| = |u||v|sin 0.]
(b) What is the capacity of the tank in liters?
[Note: 1 L = 1000 cm².]
30°
Transcribed Image Text:35. Volume of a Fish Tank A fish tank in an avant-garde restau- rant is in the shape of a parallelepiped with a rectangular base that is 300 cm long and 120 cm wide. The front and back faces are vertical, but the left and right faces are slanted at 30° from the vertical and measure 120 cm by 150 cm. (See the figure.) (a) Let u, v, and w be the three vectors shown in the figure. Find u (v x w). [Hint: Recall that u-v = |u||v|cos 0 and u x v| = |u||v|sin 0.] (b) What is the capacity of the tank in liters? [Note: 1 L = 1000 cm².] 30°
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