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
Find the derivative w.r.t y for f(x,y)=2x^2+3y+5 ✔️Ans - 3
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
Find the derivative w.r.t y for f(x,y)=2x^2+3y+5 ✔️Ans - 3
