which vector is normal to the vector with initial pt. (2,5) and terminal point (10,-1)

Our vector is:
[10-2, -1-5]=
[8, -6]
the dot product tells us that any vector [a,b], such that
8a-6b=0
will be normal to our vector

Solve the following equation: x(2i+3j+k).(i+j+x k)=6

Assuming x is a variable, and you want a dot product, then...





x=6 or x=1

If 'a' and 'b' both are unit vectors then how it is possible that 'a+b' is also a unit vector?

The conditions needed are:
1)

2)



3)


This nonlinear system does have solutions, for example


is such a pair

ind the vertical and horizontal components of 24 N at 327°.

Assuming N represents Newtons... 



 

 

:)

a = 6i + 9j |b| = 5 Find the greatest and least possible values of |a+b|

 

therefore 
 

Find the resultant of adding the following vectors:73 km/h South, 38 km/h West

u=-73j
v=-38i
r=u+v=-38i-73j

What is the direction of the vector [9,-1]

 
which is about -6.34 deg 

:)

If a = (4, 3, 9), b = (2, 8, 5) and c = (0, 7, 1) Calculate the magnitude of 2a - 5b + 3c

2a - 5b + 3c =
2(4, 3, 9)-
5(2, 8, 5)+
3(0, 7, 1) =
(8,6,18)-
(10,40,25)+
(0,21,3) =
(8-10+0,6-40+21,18-25+3)=
(-2,-13,-4)
magnitude :

:)

Find an equation for the tangent plane of the given surface at the point (1,-1,2)

Calculating Area

We can see that triangle area can be calculated by finding the vectors associated to points on a plane, computing their cross product, then dividing by 2 (cross products compute area of parallelograms).

I you need help with math, I can help you. Visit my mobile website: www.mathhelp.mobi

or email me at services@mathhelp.mobi