A rectangular box resides in R³ with one vertex at the origin, O, and three faces in the x coordinate planes. If another vertex of the box is 2 where a > 0, and the angle 3 between the diagonals from O to (5) 2 and the other vertex in the zx-plane is π/6 3 radian, then what is the value of x? O√3 03 02 √2 √6

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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A rectangular box resides in R³ with one vertex at the origin, O, and three faces in the
x
coordinate planes. If another vertex of the box is
2
where a > 0, and the angle
3
x
between the diagonals from O to
2
and the other vertex in the zx-plane is π/6
3
radian, then what is the value of x?
O√3
3
02
1
√2
√6
Transcribed Image Text:A rectangular box resides in R³ with one vertex at the origin, O, and three faces in the x coordinate planes. If another vertex of the box is 2 where a > 0, and the angle 3 x between the diagonals from O to 2 and the other vertex in the zx-plane is π/6 3 radian, then what is the value of x? O√3 3 02 1 √2 √6
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