Question

If x=(1.1.1) and y= 2. -1. -1 then prove that x is perpendicular to y . Also find an unit vector perpendicular to both x and y.​

Answer 1

Answer:

hope you understand

Step-by-step explanation:

for x and y to be perpendicular

x.y=0

x=1i^+1j^+1k^

y=2i^-1j^-1k^

x.y=(1×2)+(1×-1)+(1×-1)

=2-1-1

=2-2

=0

hence proved they are perpendicular

For unit vector perpendicular to both

we have to find cross product of x and y

for unit vector

vector of cross product/magnitude of this vector

Answer 2

If

a i j k    2 3 , b i j k    4 5 4

and

c i j k    3 2

then find

3 2 3 a b c