Q15 of 25 Page 10

If , are given vectors, then find a vector satisfying the equations and .

Let


Now,



And,




Now,


z-y=0


So, z=y


And,


x-z=1 and y-x=-1


Now,


X+y+z=3


1+z+z+z=3


Z=2/3


On putting the value of z , we get


Then, y=2/3


And, x=5/3


Hence,



Hence, The vector


More from this chapter

All 25 →
13

The scalar product of the vector with a unit vector along the sum of the vectors and is equal to 1. Find the value of λ and hence find the unit vector along .

 14

For any three vectors , prove that .

 16

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are and externally in the ratio 1:2. Also, show that p is the mid-point of the line segment RQ.

 17

For any two vectors and , show that: