Answer:
The Question is incomplete, here is the complete Question:
Think of the letter X as four vectors starting from the center
and pointing outward. Label the four vectors starting from the
top left and proceeding clockwise as U, V, W, Z.
- Does U x V point in or out of the page? (in/out)____
- Does U x Z point in or out of the page? (in/out)____
- Compute U x W= <___,___,___>
<u>ANSWERS</u>
- The Cross Product of U x V points inwards the page.
- The Cross Product of U x Z points outwards the page.
- U x W = <u>< 0, 0, 0 ></u>
<u></u>
Step-by-step explanation:
<h2>CROSS PRODUCT:</h2>
When we talk about vectors then we have the cross product of two vectors which is defined as the product of the magnitude of the two vectors and the sine of angle between them.
Mathematically,
|a|.|b|. sin∅
Thus when a and b are two non-zero vectors, then a x b = 0, if and only if a and b are parallel to each other. In order to find the direction of any two vectors we use the right hand rule and according to that we can predict the direction of the cross product of the two vectors whether they are inwards or outwards.
In this case for part (1) both the vectors are acting inwards as they are in same direction, in part (2) they are opposite in direction so it is acting outwards and in part(3) the cross product will be 0 for all the three planes as they both are parallel to each other.
