Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
6th Edition
ISBN: 9781524908102
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 9, Problem 19PE
To determine
Tofind:The equation of plane passing through a point and normal to a given
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2.
Let A = (1, – 1, 2) and B = (4, –2, 3). Solve for projĄB.
3. ,
Give the parametric and symmetric equations of the line that passes through
the point (4, –3, 5) and is perpendicular to both vectors (2,6, 1) and (1, 3, –5).
3. Please write in clear handwriting and box your answers
1.
Determine the vector and parametric equations of the line passing through
P(-2, 3, 5) and Q(-2, 4, -1).
Since a vector equation of a line can be written in many ways, it is useful to be
able to tell if different forms are actually equivalent.
2.
a. Show that the following are vector equations for the same line:
L₁:7 = (1, 0, 4) + s(−1, 2, 5), sɛR, and
L₂:7 (4, -10, -21) + m(-2, 4, 10), MER
=
b. Show that the following are vector equations for different lines:
L3:7 = (1, 6, 1) + (−1, 1, 2), lɛR, and
L4:7 = (-3, 10, 12) + k
+ ^ ( 1/2 - 1/21 -1). KER
kek
2'
Chapter 9 Solutions
Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
Ch. 9.1 - Prob. 1PSCh. 9.1 - Prob. 2PSCh. 9.1 - Prob. 3PSCh. 9.1 - Prob. 4PSCh. 9.1 - Prob. 5PSCh. 9.1 - Prob. 6PSCh. 9.1 - Prob. 7PSCh. 9.1 - Prob. 8PSCh. 9.1 - Prob. 9PSCh. 9.1 - Prob. 10PS
Ch. 9.1 - Prob. 11PSCh. 9.1 - Prob. 12PSCh. 9.1 - Prob. 13PSCh. 9.1 - Prob. 14PSCh. 9.1 - Prob. 15PSCh. 9.1 - Prob. 16PSCh. 9.1 - Prob. 17PSCh. 9.1 - Prob. 18PSCh. 9.1 - Prob. 19PSCh. 9.1 - Prob. 20PSCh. 9.1 - Prob. 21PSCh. 9.1 - Prob. 22PSCh. 9.1 - Prob. 23PSCh. 9.1 - Prob. 24PSCh. 9.1 - Prob. 25PSCh. 9.1 - Prob. 26PSCh. 9.1 - Prob. 27PSCh. 9.1 - Prob. 28PSCh. 9.1 - Prob. 29PSCh. 9.1 - Prob. 30PSCh. 9.1 - Prob. 31PSCh. 9.1 - Prob. 32PSCh. 9.1 - Prob. 33PSCh. 9.1 - Prob. 34PSCh. 9.1 - Prob. 35PSCh. 9.1 - Prob. 36PSCh. 9.1 - Prob. 37PSCh. 9.1 - Prob. 38PSCh. 9.1 - Prob. 39PSCh. 9.1 - Prob. 40PSCh. 9.1 - Prob. 41PSCh. 9.1 - Prob. 42PSCh. 9.1 - Prob. 43PSCh. 9.1 - Prob. 44PSCh. 9.1 - Prob. 45PSCh. 9.1 - Prob. 46PSCh. 9.1 - Prob. 47PSCh. 9.1 - Prob. 48PSCh. 9.1 - Prob. 49PSCh. 9.1 - Prob. 50PSCh. 9.1 - Prob. 51PSCh. 9.1 - Prob. 52PSCh. 9.1 - Prob. 53PSCh. 9.1 - Prob. 54PSCh. 9.1 - Prob. 55PSCh. 9.1 - Prob. 56PSCh. 9.1 - Prob. 57PSCh. 9.1 - Prob. 58PSCh. 9.1 - Prob. 59PSCh. 9.1 - Prob. 60PSCh. 9.2 - Prob. 1PSCh. 9.2 - Prob. 2PSCh. 9.2 - Prob. 3PSCh. 9.2 - Prob. 4PSCh. 9.2 - Prob. 5PSCh. 9.2 - Prob. 6PSCh. 9.2 - Prob. 7PSCh. 9.2 - Prob. 8PSCh. 9.2 - Prob. 9PSCh. 9.2 - Prob. 10PSCh. 9.2 - Prob. 11PSCh. 9.2 - Prob. 12PSCh. 9.2 - Prob. 13PSCh. 9.2 - Prob. 14PSCh. 9.2 - Prob. 15PSCh. 9.2 - Prob. 16PSCh. 9.2 - Prob. 17PSCh. 9.2 - Prob. 18PSCh. 9.2 - Prob. 19PSCh. 9.2 - Prob. 20PSCh. 9.2 - Prob. 21PSCh. 9.2 - Prob. 22PSCh. 9.2 - Prob. 23PSCh. 9.2 - Prob. 24PSCh. 9.2 - Prob. 25PSCh. 9.2 - Prob. 26PSCh. 9.2 - Prob. 27PSCh. 9.2 - Prob. 28PSCh. 9.2 - Prob. 29PSCh. 9.2 - Prob. 30PSCh. 9.2 - Prob. 31PSCh. 9.2 - Prob. 32PSCh. 9.2 - Prob. 33PSCh. 9.2 - Prob. 34PSCh. 9.2 - Prob. 35PSCh. 9.2 - Prob. 36PSCh. 9.2 - Prob. 37PSCh. 9.2 - Prob. 38PSCh. 9.2 - Prob. 39PSCh. 9.2 - Prob. 40PSCh. 9.2 - Prob. 41PSCh. 9.2 - Prob. 42PSCh. 9.2 - Prob. 43PSCh. 9.2 - Prob. 44PSCh. 9.2 - Prob. 45PSCh. 9.2 - Prob. 46PSCh. 9.2 - Prob. 47PSCh. 9.2 - Prob. 48PSCh. 9.2 - Prob. 49PSCh. 9.2 - Prob. 50PSCh. 9.2 - Prob. 51PSCh. 9.2 - Prob. 52PSCh. 9.2 - Prob. 53PSCh. 9.2 - Prob. 54PSCh. 9.2 - Prob. 55PSCh. 9.2 - Prob. 56PSCh. 9.2 - Prob. 57PSCh. 9.2 - Prob. 58PSCh. 9.2 - Prob. 59PSCh. 9.2 - Prob. 60PSCh. 9.3 - Prob. 1PSCh. 9.3 - Prob. 2PSCh. 9.3 - Prob. 3PSCh. 9.3 - Prob. 4PSCh. 9.3 - Prob. 5PSCh. 9.3 - Prob. 6PSCh. 9.3 - Prob. 7PSCh. 9.3 - Prob. 8PSCh. 9.3 - Prob. 9PSCh. 9.3 - Prob. 10PSCh. 9.3 - Prob. 11PSCh. 9.3 - Prob. 12PSCh. 9.3 - Prob. 13PSCh. 9.3 - Prob. 14PSCh. 9.3 - Prob. 15PSCh. 9.3 - Prob. 16PSCh. 9.3 - Prob. 17PSCh. 9.3 - Prob. 18PSCh. 9.3 - Prob. 19PSCh. 9.3 - Prob. 20PSCh. 9.3 - Prob. 21PSCh. 9.3 - Prob. 22PSCh. 9.3 - Prob. 23PSCh. 9.3 - Prob. 24PSCh. 9.3 - Prob. 25PSCh. 9.3 - Prob. 26PSCh. 9.3 - Prob. 27PSCh. 9.3 - Prob. 28PSCh. 9.3 - Prob. 29PSCh. 9.3 - Prob. 30PSCh. 9.3 - Prob. 31PSCh. 9.3 - Prob. 32PSCh. 9.3 - Prob. 33PSCh. 9.3 - Prob. 34PSCh. 9.3 - Prob. 35PSCh. 9.3 - Prob. 36PSCh. 9.3 - Prob. 37PSCh. 9.3 - Prob. 38PSCh. 9.3 - Prob. 39PSCh. 9.3 - Prob. 40PSCh. 9.3 - Prob. 41PSCh. 9.3 - Prob. 42PSCh. 9.3 - Prob. 43PSCh. 9.3 - Prob. 44PSCh. 9.3 - Prob. 45PSCh. 9.3 - Prob. 46PSCh. 9.3 - Prob. 47PSCh. 9.3 - Prob. 48PSCh. 9.3 - Prob. 49PSCh. 9.3 - Prob. 50PSCh. 9.3 - Prob. 51PSCh. 9.3 - Prob. 52PSCh. 9.3 - Prob. 53PSCh. 9.3 - Prob. 54PSCh. 9.3 - Prob. 55PSCh. 9.3 - Prob. 56PSCh. 9.3 - Prob. 57PSCh. 9.3 - Prob. 58PSCh. 9.3 - Prob. 59PSCh. 9.3 - Prob. 60PSCh. 9.4 - Prob. 1PSCh. 9.4 - Prob. 2PSCh. 9.4 - Prob. 3PSCh. 9.4 - Prob. 4PSCh. 9.4 - Prob. 5PSCh. 9.4 - Prob. 6PSCh. 9.4 - Prob. 7PSCh. 9.4 - Prob. 8PSCh. 9.4 - Prob. 9PSCh. 9.4 - Prob. 10PSCh. 9.4 - Prob. 11PSCh. 9.4 - Prob. 12PSCh. 9.4 - Prob. 13PSCh. 9.4 - Prob. 14PSCh. 9.4 - Prob. 15PSCh. 9.4 - Prob. 16PSCh. 9.4 - Prob. 17PSCh. 9.4 - Prob. 18PSCh. 9.4 - Prob. 19PSCh. 9.4 - Prob. 20PSCh. 9.4 - Prob. 21PSCh. 9.4 - Prob. 22PSCh. 9.4 - Prob. 23PSCh. 9.4 - Prob. 24PSCh. 9.4 - Prob. 25PSCh. 9.4 - Prob. 26PSCh. 9.4 - Prob. 27PSCh. 9.4 - Prob. 28PSCh. 9.4 - Prob. 29PSCh. 9.4 - Prob. 30PSCh. 9.4 - Prob. 31PSCh. 9.4 - Prob. 32PSCh. 9.4 - Prob. 33PSCh. 9.4 - Prob. 34PSCh. 9.4 - Prob. 35PSCh. 9.4 - Prob. 36PSCh. 9.4 - Prob. 37PSCh. 9.4 - Prob. 38PSCh. 9.4 - Prob. 39PSCh. 9.4 - Prob. 40PSCh. 9.4 - Prob. 41PSCh. 9.4 - Prob. 42PSCh. 9.4 - Prob. 43PSCh. 9.4 - Prob. 44PSCh. 9.4 - Prob. 45PSCh. 9.4 - Prob. 46PSCh. 9.4 - Prob. 47PSCh. 9.4 - Prob. 48PSCh. 9.4 - Prob. 49PSCh. 9.4 - Prob. 50PSCh. 9.4 - Prob. 51PSCh. 9.4 - Prob. 52PSCh. 9.4 - Prob. 53PSCh. 9.4 - Prob. 54PSCh. 9.4 - Prob. 55PSCh. 9.4 - Prob. 56PSCh. 9.4 - Prob. 57PSCh. 9.4 - Prob. 58PSCh. 9.4 - Prob. 59PSCh. 9.4 - Prob. 60PSCh. 9.5 - Prob. 1PSCh. 9.5 - Prob. 2PSCh. 9.5 - Prob. 3PSCh. 9.5 - Prob. 4PSCh. 9.5 - Prob. 5PSCh. 9.5 - Prob. 6PSCh. 9.5 - Prob. 7PSCh. 9.5 - Prob. 8PSCh. 9.5 - Prob. 9PSCh. 9.5 - Prob. 10PSCh. 9.5 - Prob. 11PSCh. 9.5 - Prob. 12PSCh. 9.5 - Prob. 13PSCh. 9.5 - Prob. 14PSCh. 9.5 - Prob. 15PSCh. 9.5 - Prob. 16PSCh. 9.5 - Prob. 17PSCh. 9.5 - Prob. 18PSCh. 9.5 - Prob. 19PSCh. 9.5 - Prob. 20PSCh. 9.5 - Prob. 21PSCh. 9.5 - Prob. 22PSCh. 9.5 - Prob. 23PSCh. 9.5 - Prob. 24PSCh. 9.5 - Prob. 25PSCh. 9.5 - Prob. 26PSCh. 9.5 - Prob. 27PSCh. 9.5 - Prob. 28PSCh. 9.5 - Prob. 29PSCh. 9.5 - Prob. 30PSCh. 9.5 - Prob. 31PSCh. 9.5 - Prob. 32PSCh. 9.5 - Prob. 33PSCh. 9.5 - Prob. 34PSCh. 9.5 - Prob. 35PSCh. 9.5 - Prob. 36PSCh. 9.5 - Prob. 37PSCh. 9.5 - Prob. 38PSCh. 9.5 - Prob. 39PSCh. 9.5 - Prob. 40PSCh. 9.5 - Prob. 41PSCh. 9.5 - Prob. 42PSCh. 9.5 - Prob. 43PSCh. 9.5 - Prob. 44PSCh. 9.5 - Prob. 45PSCh. 9.5 - Prob. 46PSCh. 9.5 - Prob. 47PSCh. 9.5 - Prob. 48PSCh. 9.5 - Prob. 49PSCh. 9.5 - Prob. 50PSCh. 9.5 - Prob. 51PSCh. 9.5 - Prob. 52PSCh. 9.5 - Prob. 53PSCh. 9.5 - Prob. 54PSCh. 9.5 - Prob. 55PSCh. 9.5 - Prob. 56PSCh. 9.5 - Prob. 57PSCh. 9.5 - Prob. 58PSCh. 9.5 - Prob. 59PSCh. 9.5 - Prob. 60PSCh. 9.6 - Prob. 1PSCh. 9.6 - Prob. 2PSCh. 9.6 - Prob. 3PSCh. 9.6 - Prob. 4PSCh. 9.6 - Prob. 5PSCh. 9.6 - Prob. 6PSCh. 9.6 - Prob. 7PSCh. 9.6 - Prob. 8PSCh. 9.6 - Prob. 9PSCh. 9.6 - Prob. 10PSCh. 9.6 - Prob. 11PSCh. 9.6 - Prob. 12PSCh. 9.6 - Prob. 13PSCh. 9.6 - Prob. 14PSCh. 9.6 - Prob. 15PSCh. 9.6 - Prob. 16PSCh. 9.6 - Prob. 17PSCh. 9.6 - Prob. 18PSCh. 9.6 - Prob. 19PSCh. 9.6 - Prob. 20PSCh. 9.6 - Prob. 21PSCh. 9.6 - Prob. 22PSCh. 9.6 - Prob. 23PSCh. 9.6 - Prob. 24PSCh. 9.6 - Prob. 25PSCh. 9.6 - Prob. 26PSCh. 9.6 - Prob. 27PSCh. 9.6 - Prob. 28PSCh. 9.6 - Prob. 29PSCh. 9.6 - Prob. 30PSCh. 9.6 - Prob. 31PSCh. 9.6 - Prob. 32PSCh. 9.6 - Prob. 33PSCh. 9.6 - Prob. 34PSCh. 9.6 - Prob. 35PSCh. 9.6 - Prob. 36PSCh. 9.6 - Prob. 37PSCh. 9.6 - Prob. 38PSCh. 9.6 - Prob. 39PSCh. 9.6 - Prob. 40PSCh. 9.6 - Prob. 41PSCh. 9.6 - Prob. 42PSCh. 9.6 - Prob. 43PSCh. 9.6 - Prob. 44PSCh. 9.6 - Prob. 45PSCh. 9.6 - Prob. 46PSCh. 9.6 - Prob. 47PSCh. 9.6 - Prob. 48PSCh. 9.6 - Prob. 49PSCh. 9.6 - Prob. 50PSCh. 9.6 - Prob. 51PSCh. 9.6 - Prob. 52PSCh. 9.6 - Prob. 53PSCh. 9.6 - Prob. 54PSCh. 9.6 - Prob. 55PSCh. 9.6 - Prob. 56PSCh. 9.6 - Prob. 57PSCh. 9.6 - Prob. 58PSCh. 9.6 - Prob. 59PSCh. 9.6 - Prob. 60PSCh. 9.7 - Prob. 1PSCh. 9.7 - Prob. 2PSCh. 9.7 - Prob. 3PSCh. 9.7 - Prob. 4PSCh. 9.7 - Prob. 5PSCh. 9.7 - Prob. 6PSCh. 9.7 - Prob. 7PSCh. 9.7 - Prob. 8PSCh. 9.7 - Prob. 9PSCh. 9.7 - Prob. 10PSCh. 9.7 - Prob. 11PSCh. 9.7 - Prob. 12PSCh. 9.7 - Prob. 13PSCh. 9.7 - Prob. 14PSCh. 9.7 - Prob. 15PSCh. 9.7 - Prob. 16PSCh. 9.7 - Prob. 17PSCh. 9.7 - Prob. 18PSCh. 9.7 - Prob. 19PSCh. 9.7 - Prob. 20PSCh. 9.7 - Prob. 21PSCh. 9.7 - Prob. 22PSCh. 9.7 - Prob. 23PSCh. 9.7 - Prob. 24PSCh. 9.7 - Prob. 25PSCh. 9.7 - Prob. 26PSCh. 9.7 - Prob. 27PSCh. 9.7 - Prob. 28PSCh. 9.7 - Prob. 29PSCh. 9.7 - Prob. 30PSCh. 9.7 - Prob. 31PSCh. 9.7 - Prob. 32PSCh. 9.7 - Prob. 33PSCh. 9.7 - Prob. 34PSCh. 9.7 - Prob. 35PSCh. 9.7 - Prob. 36PSCh. 9.7 - Prob. 37PSCh. 9.7 - Prob. 38PSCh. 9.7 - Prob. 39PSCh. 9.7 - Prob. 40PSCh. 9.7 - Prob. 41PSCh. 9.7 - Prob. 42PSCh. 9.7 - Prob. 43PSCh. 9.7 - Prob. 44PSCh. 9.7 - Prob. 45PSCh. 9.7 - Prob. 46PSCh. 9.7 - Prob. 47PSCh. 9.7 - Prob. 48PSCh. 9.7 - Prob. 49PSCh. 9.7 - Prob. 50PSCh. 9.7 - Prob. 51PSCh. 9.7 - Prob. 52PSCh. 9.7 - Prob. 53PSCh. 9.7 - Prob. 54PSCh. 9.7 - Prob. 55PSCh. 9.7 - Prob. 56PSCh. 9.7 - Prob. 57PSCh. 9.7 - Prob. 58PSCh. 9.7 - Prob. 59PSCh. 9.7 - Prob. 60PSCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - Prob. 3PECh. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - Prob. 6PECh. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 14PECh. 9 - Prob. 15PECh. 9 - Prob. 16PECh. 9 - Prob. 17PECh. 9 - Prob. 18PECh. 9 - Prob. 19PECh. 9 - Prob. 20PECh. 9 - Prob. 21PECh. 9 - Prob. 22PECh. 9 - Prob. 23PECh. 9 - Prob. 24PECh. 9 - Prob. 25PECh. 9 - Prob. 26PECh. 9 - Prob. 27PECh. 9 - Prob. 28PECh. 9 - Prob. 29PECh. 9 - Prob. 30PECh. 9 - Prob. 1SPCh. 9 - Prob. 2SPCh. 9 - Prob. 3SPCh. 9 - Prob. 4SPCh. 9 - Prob. 5SPCh. 9 - Prob. 6SPCh. 9 - Prob. 7SPCh. 9 - Prob. 8SPCh. 9 - Prob. 9SPCh. 9 - Prob. 10SPCh. 9 - Prob. 11SPCh. 9 - Prob. 12SPCh. 9 - Prob. 13SPCh. 9 - Prob. 14SPCh. 9 - Prob. 15SPCh. 9 - Prob. 16SPCh. 9 - Prob. 17SPCh. 9 - Prob. 18SPCh. 9 - Prob. 19SPCh. 9 - Prob. 20SPCh. 9 - Prob. 21SPCh. 9 - Prob. 22SPCh. 9 - Prob. 23SPCh. 9 - Prob. 24SPCh. 9 - Prob. 25SPCh. 9 - Prob. 26SPCh. 9 - Prob. 27SPCh. 9 - Prob. 28SPCh. 9 - Prob. 29SPCh. 9 - Prob. 30SPCh. 9 - Prob. 31SPCh. 9 - Prob. 32SPCh. 9 - Prob. 33SPCh. 9 - Prob. 34SPCh. 9 - Prob. 35SPCh. 9 - Prob. 36SPCh. 9 - Prob. 37SPCh. 9 - Prob. 38SPCh. 9 - Prob. 39SPCh. 9 - Prob. 40SPCh. 9 - Prob. 41SPCh. 9 - Prob. 42SPCh. 9 - Prob. 43SPCh. 9 - Prob. 44SPCh. 9 - Prob. 45SPCh. 9 - Prob. 46SPCh. 9 - Prob. 47SPCh. 9 - Prob. 48SPCh. 9 - Prob. 49SPCh. 9 - Prob. 50SPCh. 9 - Prob. 51SPCh. 9 - Prob. 52SPCh. 9 - Prob. 53SPCh. 9 - Prob. 54SPCh. 9 - Prob. 55SPCh. 9 - Prob. 56SPCh. 9 - Prob. 57SPCh. 9 - Prob. 58SPCh. 9 - Prob. 59SPCh. 9 - Prob. 60SPCh. 9 - Prob. 61SPCh. 9 - Prob. 62SPCh. 9 - Prob. 63SPCh. 9 - Prob. 64SPCh. 9 - Prob. 65SPCh. 9 - Prob. 66SPCh. 9 - Prob. 67SPCh. 9 - Prob. 68SPCh. 9 - Prob. 69SPCh. 9 - Prob. 70SPCh. 9 - Prob. 71SPCh. 9 - Prob. 72SPCh. 9 - Prob. 73SPCh. 9 - Prob. 74SPCh. 9 - Prob. 75SPCh. 9 - Prob. 76SPCh. 9 - Prob. 77SPCh. 9 - Prob. 78SPCh. 9 - Prob. 79SPCh. 9 - Prob. 80SPCh. 9 - Prob. 81SPCh. 9 - Prob. 82SPCh. 9 - Prob. 83SPCh. 9 - Prob. 84SPCh. 9 - Prob. 85SPCh. 9 - Prob. 86SPCh. 9 - Prob. 87SPCh. 9 - Prob. 88SPCh. 9 - Prob. 89SPCh. 9 - Prob. 90SPCh. 9 - Prob. 91SPCh. 9 - Prob. 92SPCh. 9 - Prob. 93SPCh. 9 - Prob. 94SPCh. 9 - Prob. 95SPCh. 9 - Prob. 96SPCh. 9 - Prob. 97SPCh. 9 - Prob. 98SPCh. 9 - Prob. 99SP
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