A fish tank in an avant-garde restaurant is in the shape of a parallelepiped with a rectangular base that is 310 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. (a) Let u, v, and w be the three vectors shown in the figure. Find u · (v ⨯ w). [Hint: Recall that u · v = |u||v| cos(?) and |u ⨯ v| = |u||v| sin(?).] (b) What is the capacity of the tank in liters? [Note: 1 L = 1000 cm3.] (Round your answer to the nearest liter.)
A fish tank in an avant-garde restaurant is in the shape of a parallelepiped with a rectangular base that is 310 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. (a) Let u, v, and w be the three vectors shown in the figure. Find u · (v ⨯ w). [Hint: Recall that u · v = |u||v| cos(?) and |u ⨯ v| = |u||v| sin(?).] (b) What is the capacity of the tank in liters? [Note: 1 L = 1000 cm3.] (Round your answer to the nearest liter.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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A fish tank in an avant-garde restaurant is in the shape of a parallelepiped with a rectangular base that is 310 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.
(a) Let u, v, and w be the three
(b) What is the capacity of the tank in liters? [Note: 1 L = 1000 cm3.] (Round your answer to the nearest liter.)
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