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Question 23 23. Find U x V and show that it is orthogonal to both U and V. U=<-5,2,2> and V=<0,1,8> 24. Find an equation of the plane that passes through the point (2,2,1) and contains the line given by $\frac{x}{2} = \frac{y-4}{-1} = z$ 25. Use the given acceleration vector and initial conditions to find the velocity and position vectors. Then find the position vector at time t=2. $a(t) = -cos(t)i - sin(t)j$, $v(0) = j+k$, $r(0) = i$

Name: question 23 23 find u x v and show that it is orthogonal to both u and v u 522 and v018 24 find an equation of the plane that passes through the point 221 and contains the line given by frac 36862
Uploaded: 2023-04-01T05:49:47-08:00
Duration: 2 min 41 s
Channel: Sri K
Description: question 23 23 find u x v and show that it is orthogonal to both u and v u 522 and v018 24 find an equation of the plane that passes through the point 221 and contains the line given by frac 36862

          Question 23
23. Find U x V and show that it is orthogonal to both U and V.
U=<-5,2,2> and V=<0,1,8>
24. Find an equation of the plane that passes through the point (2,2,1) and contains the line given by $\frac{x}{2} = \frac{y-4}{-1} = z$
25. Use the given acceleration vector and initial conditions to find the velocity and position vectors. Then find the position vector at time t=2.
$a(t) = -cos(t)i - sin(t)j$, $v(0) = j+k$, $r(0) = i$

$question 23 23 find u x v and show that it is orthogonal to both u and v u 522 and v018 24 find an equation of the plane that passes through the point 221 and contains the line given by frac 36862$

Added by Alba W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

04/01/2023

Step 1

Find U x V and show that it is orthogonal to both U and V. U=<-5,2,2> and V=<0,1,8> $U \times V = \begin{vmatrix} i & j & k \\ -5 & 2 & 2 \\ 0 & 1 & 8 \end{vmatrix} = (16-2)i - (-40-0)j + (-5-0)k = 14i + 40j - 5k = <14, 40, -5>$ To show that $U \times V$ is Show more…

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Question 23 23. Find U x V and show that it is orthogonal to both U and V. U=<-5,2,2> and V=<0,1,8> 24. Find an equation of the plane that passes through the point (2,2,1) and contains the line given by $\frac{x}{2} = \frac{y-4}{-1} = z$ 25. Use the given acceleration vector and initial conditions to find the velocity and position vectors. Then find the position vector at time t=2. $a(t) = -cos(t)i - sin(t)j$, $v(0) = j+k$, $r(0) = i$