Question

determine a unit vector is perpendicular to both A=2i+j-k andB=i+j-2k​

Answer 1

k

.

=

3

ˆ

i

−

3

ˆ

j

−

3

ˆ

k

.

Now unit vector in the direction of

→

C

is

→

C

∣

∣

∣

→

C

∣

∣

∣

∴

∣

∣

∣

→

C

∣

∣

∣

=

√

3

2

+

(

−

3

)

2

+

(

−

3

)

2

=

√

27

=

3

√

3

Therefore desired unit vector is

1

√

3

(

ˆ

i

−

ˆ

j

−

ˆ

k

)

Hope this will help you ☺

Answer 2

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All the Best.