Vector 1
Find vector BA when A(1, 5, -5) and B(0, -2, 9)
What is <1, 7, -14>
What is the position vector of a point A where A(9, -14, 2)
What is OA = <9, -14, 2>
Given that a = <2, -2, 1>, b = <1, 1, 2>, c = <3, -5, 1>, and d = <3, -3, 2>. Find a*(b+c)
Answer: 19
Find the equation to the curve normal y = 3 - (1/5)e^x at x=2ln5.
x - 5y - 10 - ln25 = 0
Character Names: Who said, "Whether you win by an inch or a mile...winning is winning."
Dominic Torretto - The Fast and The Furious
Find the magnitude of Vector BA when A(1, 5, -5) and B(0, -2, 9)
Sqrt(246)
Find the vector equation of the line passing through the points (3, -1, 1) and (6, 0, 1).
r = (3, -1, 1) and t(3, 1, 0)
Given that the |a|=3, |b|=5 and the dot product of a and b = 10, find the angle between a and b.
48.2 degrees
The Gradient of a curve is found to be dy/dx = (x^2)-4. Find the x-coordinate of the maximum point.
-2
Name the Play from whence this line is from. "In sleep he sang to me. In dreams he came... that voice which calls to me and speaks my name."
The Phantom of the Opera
What is the unit vector of BA where A(1, 5, -5) and B(0, -2, 9).
(1/sqrt(246))<1, 7, -14>
P(7, 1, 2) and Q(3, -1, 5). Point R lies on the line L and PR = 2PQ. Find the possible coordinates of R.
(-5, -5, 11) or (19, 7, -7)
The vectors a = <4, 2> and b = <k+3, k> are perpendicular to each other. Find the value of k.
k = -2
If tanx = 4/3 and theta is in Quadrant 3, find the values of cosine and sine of x.
Cosx = -3/5 and sinx = -4/5
Name the Inn where Frodo, Sam, Pippin, and Merry meet strider.
The Prancing Pony
Find the vector equation of the line l through the points P(7, 1, 2) and Q(3, -1, 5).
r = (7, 1, 2) + t<-4, -2, 3>
Given that a = <2, -2, 1>, b = <1, 1, 2>, c = <3, -5, 1>, and d = <3, -3, 2>. Find (b-a)*(d-c).
Answer: 7.
The vectors a = <4, 2> and b = <k+3, k> are perpendicular to each other. Given that c = a +2b, find the value of c.
c = <6, -2>
The events A and B are such that P(A) = 0.6, P(B) = 0.2, and the P(A U B) = 0.7. Find P(A n B).
P(A n B) = 0.1
What is the most expensively traded stock of all time and currently is trading at around $305,000 per share.
Berkshire Hathaway - Warren Buffett
Point A lies on the line with the equation r = -3i + 4k + t(2i + 2j -k). Find the coordinates of one point on the line that is 10 units from A.
(11/3, 20/3, 2/3) or (-29/3, -20/3, 22/3).
Daily Double: Given that |a|=8, a dot b = 12 and the angle between a and b is 60 degrees. Find the exact value of |b|.
|b| = 3.
Points A and B have position vectors a = <4, 1, 2> and b = <2, -1, 3>. C is the midpoint of AB. Find the exact distance of AC.
A circle has centre O and radius 10 cm. Points A and B lie on the circumference so that the area of the minor sector AOB is 40 cm2. Calculate the size of the acute angle AÔB.
0.8
I lied... this is a math Question.
"Prepare for Battle!" - Gandolf
You must have parts a, b, c, and d
:)
a) (4, -1, 3)
bi) AB = <2, 4, -4>
bii) |AB| = 6
c) <A = -1/3
d) 9