Questions: Vector operations Puntos:10 The labelled vectors below are drawn to scale. For each of the statements select Greater than, Less than, or Equal to. Greater than 0 Z · H is ... 0 . Greater than ≈Y × R is ... 0. Greater than 0~S × H is ... 0. Less than ≈ N · H is ... 0. Less than The magnitude of Z that of Y . Equal to J · S is ... 0.

Vector operations
Puntos:10
The labelled vectors below are drawn to scale.

For each of the statements select Greater than, Less than, or Equal to. Greater than 0 Z · H is ... 0 .
Greater than ≈Y × R is ... 0.
Greater than 0~S × H is ... 0.
Less than
≈ N · H is ... 0.
Less than
The magnitude of Z that of Y .
Equal to J · S is ... 0.

Transcript text: Vector operations Puntos:10 The labelled vectors below are drawn to scale. For each of the statements select Greater than, Less than, or Equal to. Greater than $0 \mathrm{Z} \cdot \mathrm{H}$ is ... 0 . Greaterthan $\approx|Y \times R|$ is $\ldots 0$. Greater than $0|\mathrm{~S} \times \mathrm{H}|$ is $\ldots 0$. Less than $\approx \mathrm{N} \cdot \mathrm{H}$ is ... 0. Less than The magnitude of $Z$ that of Y . Equal to $\mathrm{J} \cdot \mathrm{S}$ is ... 0.

Solution

Solution Steps

Step 1: Analyze the Vectors

Identify the direction and magnitude of each vector (Z, H, Y, R, S, N, J) from the given diagram.

Step 2: Calculate Dot Product (Z · H)

The dot product of two vectors is calculated as $ \mathbf{A} \cdot \mathbf{B} = |\mathbf{A}| |\mathbf{B}| \cos(\theta) $, where $ \theta $ is the angle between the vectors.
Determine the angle between Z and H and calculate the dot product.

Step 3: Calculate Cross Product Magnitude (|Y × R|)

The magnitude of the cross product of two vectors is calculated as $ |\mathbf{A} \times \mathbf{B}| = |\mathbf{A}| |\mathbf{B}| \sin(\theta) $, where $ \theta $ is the angle between the vectors.
Determine the angle between Y and R and calculate the magnitude of the cross product.