 105.1: For 1 and 2, find two normal vectors to the plane, pointing in oppo...
 105.2: For 1 and 2, find two normal vectors to the plane, pointing in oppo...
 105.3: Perpendicular to the point (6, 7, 2)
 105.4: Perpendicular to the point (4, 7, 5)
 105.5: Perpendicular to the line segment connecting (3, 8, 5) and (11, 2, ...
 105.6: Parallel to the plane 3x 7y + 2z = 11 and containing the point (8, ...
 105.7: Parallel to the plane 5x 3y z = 4 and containing the point (4, 6, 1)
 105.8: Perpendicular to an xintercept of 5 (The xintercept of a plane is...
 105.9: A plane has the equation 3x 7y + 5z = 54. Points P1(6, 2, z1) and P...
 105.10: A plane has the equation 4x + 2y 10z = 300. Points P1(x1, 4, 5) and...
 105.11: Geology Problem: Figure 105d shows an underground rock formation t...
 105.12: Roof Valley Problem: Figure 105e shows an Lshaped house that is t...
 105.13: Prove that these two planes are perpendicular. 2x 5y + 3z = 10 7x +...
 105.14: Find the value of A that makes these two planes perpendicular. Ax +...
 105.15: Planes Equation Proof Problem: Prove that if = A + B +C is a normal...
 105.16: Normal Vector Proof Problem: Prove the converse of the property in ...
Solutions for Chapter 105: Planes in Space
Full solutions for Precalculus with Trigonometry: Concepts and Applications  1st Edition
ISBN: 9781559533911
Solutions for Chapter 105: Planes in Space
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. Chapter 105: Planes in Space includes 16 full stepbystep solutions. Since 16 problems in chapter 105: Planes in Space have been answered, more than 20954 students have viewed full stepbystep solutions from this chapter.

Axis of symmetry
See Line of symmetry.

Center
The central point in a circle, ellipse, hyperbola, or sphere

Constant function (on an interval)
ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

Demand curve
p = g(x), where x represents demand and p represents price

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Frequency (in statistics)
The number of individuals or observations with a certain characteristic.

Logarithmic form
An equation written with logarithms instead of exponents

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Modulus
See Absolute value of a complex number.

nth root of a complex number z
A complex number v such that vn = z

Objective function
See Linear programming problem.

Onetoone rule of exponents
x = y if and only if bx = by.

Pascal’s triangle
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

Pointslope form (of a line)
y  y1 = m1x  x 12.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n  12d4,

Upper bound test for real zeros
A test for finding an upper bound for the real zeros of a polynomial.

Venn diagram
A visualization of the relationships among events within a sample space.

Xmin
The xvalue of the left side of the viewing window,.