Question

find the value of x for which x(i^+j^+k^)is a unit vector​

Answer 1

Answer:

x=1/√3

Step-by-step explanation:

Let the given vector be a=x(i^+j^+k^)

then a=xi^+xj^+xk^

a=x2+x2+x2=3x

Therefore a will be unit vector if ∣a∣=1

∣a=1∣

⇒3x=1

⇒x=31

Answer 2

Answer:

x = 1/√3

Step-by-step explanation:

Let the given vector be

a

=x( i^ + j^ + k^ )

then

a =x i^ +x j^+x k^

a= √x 2 +x 2+x 2 = √3 x

Therefore

a

will be unit vector if ∣ a ∣=1

∣ a =1∣

⇒ √3 x=1

⇒x= 1\√3