Question

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Let ā rī-j. =-k, erk-7, find unit vector à such that a.] =0 = [īcā.​

Answer 1

Answer:

Answer

Let

a

=x

i

^

+y

j

^

+z

k

^

where

x

2

+y

2

+z

2

=1

then

a

×

i

^

=

j

^

⇒(x

i

^

+y

j

^

+z

k

^

)×

i

^

=

j

^

⇒y(−

k

^

)+z(

j

^

)=

j

^

⇒−y

k

^

+z

j

^

=

j

^

⇒y=0,z=1

Now,

x

2

+y

2

+z

2

=1

⇒[

x

2

+y

2

+z

2

]

2

=1

2

⇒x

2

+y

2

+z

2

=1

⇒x

2

+0+1=1

⇒x=0

Therfore,

a= k^So, a . i^= k^ . i^=0

Step-by-step explanation:

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