Vector Coordinates
Find the coordinates of vector AB if A(1,2) and B(4,6)
(3,4)
Find the magnitude of vector (3,4)
5
Compute the scalar product of (2,3) and (1,4)
14
Write the formula for cos(a) between two vectors u and v.
cos(a)= (u.v)/(|u|.|v|)
Given A(-2,3) and B(1,-1), find the vector AB.
(3,-4)
Calculate the magnitude of the vector u, where u(-5,12)
13
Find the scalar product of u and v if u(-1,5) and v(3,2)
7
Find cos(a) between the vectors (1,0) and (0,1).
Cos(a)=0
u.v=v.u
True
Find the coordinates of vector BA if A(3,5) and B(-1,2)
(4,3)
Given A(1,2) and B(7,6). Find the length of the vector AB.
2 times radical 13
Let u(4,-2). Find u.u
20
Vectors u(2,-1) and v(1,3). Calculate cos(a).
-1 over 5 radical 2
Two vectors with the same magnitude are necessarily equal.
False
Points A(2,-1), B(5,4) and C(1,3).
Find the sum of the vectors (AB + AC).
(2,9)
If v(2a,3a). Express the magnitude of v in terms of a.
Radical of (13a2)
Vectors u(x,2) and v(3,1). Find x if u.v=0
-2/3
Vectors u(2,1) and v(1,-2). Find the angle between them.
90 degrees
If cos(a)=-1, then the two vectors have opposite directions.
True
Point A(1,-2) and vector u(4,3). Find the coordinates of point B such as (vector AB)=(vector u)
B(5,1)
Find the value of x such that the vector (x,4) has magnitude 5
x=3 or x=-3
Two vectors have coordinates (a,1) and (2,a). Find all values of “a” such that their scalar product is 10.
10/3