The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
Answer:
wrong
Step-by-step explanation:
the student added 4x with 3 instead of multiplying
Hi there!
To calculate a discount or a mark-up in the price of a retail item, you need to multiply the given price of the item by the percentage, like so:
1.35 × 0.2 = 0.27
Then you add or subtract as necessary. In your case you would subtract since you are trying to find a discount price.
1.35 - 0.27 = 1.08
So the final price of the product after the discount is $1.08
Your friend, ASIAX
The answer to the question is 2
Answer:
36.25 is equal to the 45.5% of 79.67
Step-by-step explanation:
To solve this you just have to find the value that represents the 100%.
To do this, you can use the Rule of Three that allows you to solve problems of proportions.
In this case, you know that the 45.5% of the magnitude <em>X </em>is 36.25, now you have to find the value which corresponds to the 100%.
Mathematically it will be:
Then you have to solve the equation to find <em>X</em>:
And finally, the answer is:
