تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
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b. The parametric equations of a line in space are: x = xo + at, y = yo+bt, and z = Zo + ct.
The distance d from point A (XA, YA, ZA) to the line can be calculated by:
((xA - xo) a + (YA - yo)b + (ZA - Zo)c\
d = dдo sin
sin [acos (a
-
dдo√a² + b² + c²
-
Where do = √(xA -− x0)² + (ya − yo)² + (ZA − Zo)² .
Determine the distance of the point A (2,-3, 1) from the line x = -4 + 0.6t, y = -2+ 0.5t,
and z = -3 +0.7t. First define the variables xo, yo, Zo, a, b, and c, then use the variables
(and the coordinates of point A) to calculate dдo, and finally calculate d.
c. Assign the number 316,501.673 to a variable, and then calculate the following by
typing one line of command:
I.
Round the number to the nearest hundredth.
II.
Round the number to nearest thousand.
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