1. Find the value of k that will make the vectors v = <-1, -4, 2> and w = <5, k, 4> perpendicular to each other. %3D

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1RP: We mentioned in Section 7.5 that our algebraic treatment of vectors could be attributed, in part, to...
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Being perpendicular just means that the dot product must equal zero, right? So dotting the two vectors and setting that = to zero would make this so, right??
15-25¢ + 9-le =0
34-26¢ = o
C= 34
26
1,3076923076923
-26
-26
1. Find the value of k that will make the vectors v = <-1, -4, 2> and w = <5, k, 4>
perpendicular to each other.
-11-412).<5)ド、47=0
<(-1:5) + (-4.k)+ (2.4)>
-5 - 4K+8 =0
3-4 K =0
- 4 K = - 3
-4
- 4
K= 3
4
rea of a parallelogram defined by PQ and QR when P = (4, 0, 1),
R= (-2, -5, -3).
(-3-0)=<-ネ,-2-3>
-3),(1-2)-(-3.-7)>
(-2 - 21)7
wz W3
o + 529
678
Transcribed Image Text:15-25¢ + 9-le =0 34-26¢ = o C= 34 26 1,3076923076923 -26 -26 1. Find the value of k that will make the vectors v = <-1, -4, 2> and w = <5, k, 4> perpendicular to each other. -11-412).<5)ド、47=0 <(-1:5) + (-4.k)+ (2.4)> -5 - 4K+8 =0 3-4 K =0 - 4 K = - 3 -4 - 4 K= 3 4 rea of a parallelogram defined by PQ and QR when P = (4, 0, 1), R= (-2, -5, -3). (-3-0)=<-ネ,-2-3> -3),(1-2)-(-3.-7)> (-2 - 21)7 wz W3 o + 529 678
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