Vector And Multivariable – Q’s And A’s
If a = <4,0,3>and b = <-2,1,5> Find a + b ✔ Ans - <2,1,8>
If a = <4,0,3> Find |a| ✔ Ans - 5
If b = <-2,1,5> Find 3b ✔ Ans - <-6,3,15>
If a and b are vectors , a - b = b - a (True/False) ✔ Ans - False, a - b = -b + a
Graph of x=1 in 3D ✔ Ans - A plan parallel to yz axis
If a is a vector a + (-a) = 0 ( True/False) ✔ Ans - True, A vector subtracted
from itself results in a zero value zero vector
Unit vector (definition) ✔ Ans - A vector whose length is 1
A force is represented by a vector because it has both a magnitude and a direction
(True/False) ✔ Ans - True, a force has a magnitude measured in either
pounds or newtons as well as a direction
Equivalent vectors ✔ Ans - Vectors with same magnitude and direction yet
different position
Terminal point (tip) ✔ Ans - The ending point of a vector
Scalar ✔ Ans - Real number without direction
Vector (definition) ✔ Ans - Indication of magnitude and direction
The domain f(x,y)=y/(x-y) is ✔ Ans - x<>y
The range of f(x,y)=sin(xy) ✔ Ans - [-1, 1]
Find the limit (x,y)->(-1, 3) x^2-y^2 ✔ Ans - -2
