Vector Basics
What is a vector?
This quantity has both magnitude and direction.
There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there?
Three. Two ducks are in front of the last duck; the first duck has two ducks behind; one duck is between the other two.
Given dots A = (2, -1) and B = (-3, 5), find the vector AB.
AB = (-5, 6)
Who lives in a pineapple under the sea?
Sponge Bob Square Pants
What is "directed line segment"?
A line segment with direction
If an electric train is moving north at 100 km/h and the wind is blowing to the west at 10 km/h, which way does the smoke from the train go?
Electric trains don’t produce smoke.
Given vector a = (3, -2) and vector b = (-1, 5), find the magnitude of the vector sum a + b.
To find the magnitude of the vector sum a + b, we first need to calculate the sum of the two vectors: a + b = (3 - 1, -2 + 5) = (2, 3). Then, we find the magnitude of this resultant vector: |a + b| = √(2² + 3²) = √13.
What is the main language spoken in Brazil?
Portuguese
What is resultant vector?
The result of adding two vectors
A man stands on one side of a river, his dog on the other. A man calls his dog, who immediately traverses the river without getting wet. How did the dog do it?
The river was frozen, so the dog walked across the ice.
If u = –i + 3j, v = 7i – 4j and w = 2i + j then find
(3u) · (v + w).
3u = –3i + 9j
v + w = 9i – 3j
(3u) · (v + w) = -27 +(-27) =-54
Which sport uses terms like “spare” and “strike”?
Bowling
What is Unit vector?
This type of vector has a magnitude of 1 and is used for direction.
Find the next number 13, 17, 31, 37, 71, 73, 79, 97, 107, ...
The sequence contains only those prime numbers for which their palindrome (the same number read from end to beginning) is another prime number. Thus, all numbers in this sequence are naturally divided into pairs: 13 and 31, 17 and 71, 37 and 73, 79 and 97, 107 and 701...
BONUS QUESTION
FREE POINTS
What is the fastest human sense?
Hearing
What is terminal point?
endpoint of vector
T = 7777
R = 1111
Y = 5555
N = 4444
E = ?
E = 3333
T = 7+7+7+7 = TWENTY EIFH(T)
R = 1+1+1+1 = FOU(R)
Y = 5+5+5+5 = TWENT(Y)
N = 4+4+4+4 = SIXTEE(N)
3+3+3+3 = TWELV(E)
Given u = 3i + 4j, calculate |0.5u - i|
(17^(1/2))/2
In the Harry Potter series, what is the name of Harry’s pet owl?