Question

Find a unit vector in the direction of the resultant of vectors A ⃗ = 2i-3j+k ,B ⃗⃗ =i +j+k and C ⃗ = 3i-2j+4k

Answer 1

Explanation:

We know that cross product of any two vectors yields a vector which is perpendicular to both vectors

∴

for two vectors

→

A

and

→

B

if

→

C

is the vector perpendicular to both.

→

C

=

→

A

×

→

B

=

⎡

⎢

⎣

ˆ

i

ˆ

j

ˆ

k

A

1

A

2

A

3

B

1

B

2

B

3

⎤

⎥

⎦

=

(

A

2

B

3

−

B

2

A

3

)

ˆ

i

−

(

A

1

B

3

−

B

1

A

3

)

ˆ

j

+

(

A

1

B

2

−

B

1

A

2

)

ˆ

k

.