Sum of 2 Vectors
Random
Distance Between Vectors
Dot Product
Angle between Vectors
100
Find the sum of the vectors:
U= <2, -1>
V= <3, 5>
<5, 4>
100
Determine if the vector v is a linear combination of the remaining vectors.
v = <1,4>
u1 =<1,-1>
u2 =<2,-1>
The vector v is a linear combination of u1 and u2
100
Find the distance (v,w) between the two vectors
v= (1,3) w= (5,2)
radical 17
100
Evaluate the dot product of u=(1,2,3), and v=(9,−2,−10)
-25
100
Find the angle between these two vectors, u=(3,4), and v=(9,−2)
65.66 degrees
200
Given Vectors:
U= <2, -1, 3>
V= <3, 5, 0>
W= <-2, 0, 3>
α=2 β=-2 γ=4
FIND: αu+βv+γw
<-10, -12, 18>
200
Consider the following vectors
v=<1,7> u1=<1,-1> u2=<5,-1>
Give the corresponding linear combination
v=( ?)u1+(?)u2
Is the vector a linear combination of the vectors u1 and u2?
The vector v is a linear combination pf vectors u1 and u2
v=(-9)u1+(2)u2
200
Find the distance between XY if X=⟨1,0,−5⟩ and Y=⟨−3,2,−1⟩
6
200
Find the dot product of the following vectors:
0
200
Calculate the angle between u=(1,2), v=(3,4)
10.3 degrees
300
Given Three Vectors u=⟨2,3,1⟩, v=⟨-2,5,1⟩ and z= u-2v
FIND the magnitude of vector 3z
3 radical 86
300
Find the unit vector that is in the same direction as the vector v=[3,6,1]
[4/radical 46, 6/radical 46, 1/radical 46]
300
Compute the distance between the vectors ⟨2,3,5⟩ and ⟨2,0,9⟩
5
300
Find the dot product of the following vectors:
24
300
Find the approximate acute angle in degrees between the vectors <2,2,5>,<0,5,−1>
80.22
400
The coordinates of the points A,B,C are
A(-1,1,2) B(1,-2,3) C(-2,1,1)
FIND the vector sum of U+V-W if U=AB V=CB W=CA
<4, -6, 2>
400
Put the vector (1,3) in unit vector form.
(1/radical 10, 3/radical 10)
400
Find the distance between the vectors ⟨0,1,4⟩ and ⟨2,9,1⟩
radical 77
400
Calculate the dot product of c=(−4,−9)c=(−4,−9) and d=(−1,2)d=(−1,2). Do the vectors form an acute angle, right angle, or obtuse angle?
-14 (vectors form an obtuse angle)
400
Find the angle between the following vectors (to two decimal places):
v=[−2,4,−1],w=[3,1,−5]
1.46
500
Find the sum of two vectors (-1,2) to (3,-7)
<4,-9>
500
What is a vector?
a directed line segment that depicts the length and direction of arrow (tail to end)
500
Find the distance between the vectors ⟨1,3,3⟩ and ⟨2,−1,1⟩
radical 21
500
Calculate the dot product of a=(1,2,3)a=(1,2,3) and b=(4,−5,6)b=(4,−5,6). Do the vectors form an acute angle, right angle, or obtuse angle?
12 (the vectors form an acute angle)
500
Find the angle between vectors u=⟨1,−2,3⟩ and v=⟨−3,−4,−6⟩ and round to the nearest degree
116