Question

a vector perpendicular to 4i-3j is

Answer 1

Given :

• Given vector is 4i - 3j

To find :

• Vector perpendicular to the given vector

Solution :

• The dot product of two vectors is given by :

        a.b = ab cosα   where α is the angle between the two vectors

• We have to find a vector perpendicular to the given vector.
• Hence, α = 90
• We know that, for perpendicular vectors, dot product is zero.
• Let our required vector be (xi + yj).

     ∴ (4i - 3j).(xi + yj) = 0

     ∴ 4x - 3y = 0

     ∴ 4x = 3y

     ∴ x/y = 3/4

• This shows that x and y can be in the ratio of 3:4 .
• Hence, one of the possible answers can be (3i + 4j).

Answer :

The vector perpendicular to the given vector is 3i + 4j.

Answer 2

i cap lies in x axis.

j cap lies in y axis.

k cap lies in z axis.

k cap is always perpendicular to the x-y plane

So vector in k cap direction will be perpendicular to the vectors