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Conceptual Question 3.08 Part A If the eastward component of vector $\vec{A}$ is equal to the westward component of vector $\vec{B}$ and their Vectors $\vec{A}$ and $\vec{B}$ point in opposite directions. The magnitude of vector $\vec{A}$ is equal to the magnitude of vector $\vec{B}$. The magnitude of vector $\vec{A}$ is twice the magnitude of vector $\vec{B}$. Vector $\vec{A}$ is perpendicular to vector $\vec{B}$. Vector $\vec{A}$ is parallel to vector $\vec{B}$. Submit Request Answer Provide Feedback

          Conceptual Question 3.08
Part A
If the eastward component of vector $\vec{A}$ is equal to the westward component of vector $\vec{B}$ and their
Vectors $\vec{A}$ and $\vec{B}$ point in opposite directions.
The magnitude of vector $\vec{A}$ is equal to the magnitude of vector $\vec{B}$.
The magnitude of vector $\vec{A}$ is twice the magnitude of vector $\vec{B}$.
Vector $\vec{A}$ is perpendicular to vector $\vec{B}$.
Vector $\vec{A}$ is parallel to vector $\vec{B}$.
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conceptual question 308 part a if the eastward component of vector veca is equal to the westward component of vector vecb and their vectors veca and vecb point in opposite directions the mag 57189

Added by Andrew W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Sri K

09/29/2023

Step 1

The problem states that the eastward component of vector $\vec{A}$ is equal to the westward component of vector $\vec{B}$. Let's denote the eastward direction as positive x-axis and the westward direction as negative x-axis. So, if $\vec{A}_x$ is the x-component Show more…

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Conceptual Question 3.08 Part A If the eastward component of vector $\vec{A}$ is equal to the westward component of vector $\vec{B}$ and their Vectors $\vec{A}$ and $\vec{B}$ point in opposite directions. The magnitude of vector $\vec{A}$ is equal to the magnitude of vector $\vec{B}$. The magnitude of vector $\vec{A}$ is twice the magnitude of vector $\vec{B}$. Vector $\vec{A}$ is perpendicular to vector $\vec{B}$. Vector $\vec{A}$ is parallel to vector $\vec{B}$. Submit Request Answer Provide Feedback

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00:01 So yes, our statement first is true because a vector has both magnitude and direction.

00:13 Magnitude and direction.

00:17 So that will be true.

00:20 So let us talk about second part.

00:23 So parallel vectors are in same or exactly opposite directions.

00:26 They have same angle but different magnitude.

00:29 So the statement is false.

00:31 So parallel vectors are same in magnitude or exactly opposite in direction.

00:50 They have same angle but different magnitude.

01:03 So this statement given to us is false.

01:07 Now let us talk about third statement.

01:10 So vectors with same magnitude and direction are known as equivalent vectors.

01:29 Equivalent vectors.

01:32 So the given statement is true.

01:40 So because we know a vector has both magnitude and direction, thus given statement is concluded as true.

01:46 And parallel vectors are in the same or exactly opposite directions.

01:50 They have same angle but different magnitude.

01:52 Thus, we can conclude that the given statement is false.

01:56 And vectors with same magnitude and direction are known as equivalent vectors and the given statements can be concluded to be true...

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