Answer:
Step-by-step explanation:
A) From the order of the exercise we already know that the intersection points lies on the Y-axis, so its coordinates are P(0;y;0). In order to find it, we only need to substitute the equation 4x+4z=0 into the equation 4x+3y+4z=1. Then,
1=4x+3y+4z = 3y + (4x+4z)= 3y+0.
From the expression above it is easy to obtain that y=1/3, and the intersection point is P(0;1/3;0).
B) To obtain the parallel vector to both planes we use the cross product of the normal vector of the planes.
![\left[\begin{array}{ccc}i&j&k\\4&3&4\\4&0&4\end{array}\right] = 12i-0j+12k](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C4%263%264%5C%5C4%260%264%5Cend%7Barray%7D%5Cright%5D%20%3D%2012i-0j%2B12k)
As we want a unit vector, we must calculate the modulus of u:
.
Thus, the wanted vector is
. Therefore,
.
C) In order to obtain the vector equation of the intersection line of both planes, we just need to put together the above results.

where
is a real number.
The answer will be 3 yards
Buying a new car. you should always use a debit card but if you used a credit card than the pros would be you would not have to worry about the cost. the cons, if it is over your budget you would go into debt. if you used a debit card than you could use Ur own money which means no debt. cons. if you don't have enough money you would need a loan or a cheaper or worse car
Reteach the (x,y) coordinate structure and axes to the whole class.
When the majority of the class does not understand a topic, it should be retaught in a different manner.
A coordinate plane is a dimensional plane fashioned by way of the intersection of a vertical line known as the y-axis and a horizontal line known as the x-axis. These are perpendicular traces that intersect each differently at zero, and this point is called the origin.
Here are the characteristics for each of the four coordinate plane quadrants:
- Quadrant I: positive x and positive y.
- Quadrant II: negative x and positive y.
- Quadrant III: negative x and negative y.
- Quadrant IV: positive x and negative y.
The XY Coordinate plane is fashioned while two quantity strains (called axes) meet at a 90° attitude. The horizontal line is called the x-axis and the vertical line is known as the y-axis. The point where they meet is referred to as the beginning. The axes separate the plane into four sections called quadrants.
Learn more about coordinate plane here brainly.com/question/13854649
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