Question

(a) A vector $\vec{v}$ has initial point $P(-2, 0)$ and terminal point $Q$ that is on the $y$-axis and above the initial point. Find the coordinates of the terminal point $Q$ such that the magnitude of $\vec{v}$ is $\sqrt{68}$. The terminal point 'Q' is: help (points)

Name: a a vector vecv has initial point p 2 0 and terminal point q that is on the y axis and above the initial point find the coordinates of the terminal point q such that the magnitude of vecv is 34695
Uploaded: 2021-12-26T15:22:46-08:00
Duration: 2 min 34 s
Channel: Linda Winkler
Description: a a vector vecv has initial point p 2 0 and terminal point q that is on the y axis and above the initial point find the coordinates of the terminal point q such that the magnitude of vecv is 34695

          (a) A vector $\vec{v}$ has initial point $P(-2, 0)$ and terminal point $Q$ that is on the $y$-axis and above the initial point. Find the coordinates of the terminal point $Q$ such that the magnitude of $\vec{v}$ is $\sqrt{68}$.
The terminal point 'Q' is: help (points)

a a vector vecv has initial point p 2 0 and terminal point q that is on the y axis and above the initial point find the coordinates of the terminal point q such that the magnitude of vecv is 34695

Added by Katie A.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Linda Winkler

12/26/2021

Step 1

Let the terminal point be $Q = (x_2, y_2)$. We are given that $Q$ is on the $y$-axis, which means its x-coordinate is 0. So, $x_2 = 0$. We are also given that $Q$ is above the initial point. Since the y-coordinate of P is 0, this means the y-coordinate of Q must Show more…

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(a) A vector $\vec{v}$ has initial point $P(-2, 0)$ and terminal point $Q$ that is on the $y$-axis and above the initial point. Find the coordinates of the terminal point $Q$ such that the magnitude of $\vec{v}$ is $\sqrt{68}$. The terminal point 'Q' is: help (points)