Answer:
0, - 6, - 12
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the formula
a₁ = 3(- 2)(1 - 1) = 3 × - 2 × 0 = 0
a₂ = 3(- 2)(2 - 1) = 3 × - 2 × 1 = - 6
a₃ = 3(- 2)(3 - 1) = 3 × - 2 × 2 = - 12
First 3 terms are 0, - 6, - 12
Answer:
ATLANTA — Hank Aaron, the man who broke Babe Ruth’s home run record and went on to hit 755 in his career, now wants to be remembered for something entirely different.
Step-by-step explanation:
Well not all lines are lines of symmerty, because if you draw a let's say a rectangle on a piece of paper and draw a diagonal line through it, well the two sides don't really lie perfectly on one another!!
Answer: A compound event is an event that has more than one possible outcomes.
Example: Outcome of rolling a 6 since the dice is 6 sided. 1/6 is the probability .
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.