Question

A vector perpendicular to the vector (i+2j) and having magnitude 3 root(5) units is

Answer 1

Explanation:

"The vectors perpendicular to the vector i + 2 j with magnitude are (6i - 3j) or r = (6i + 3j)

Solution:

We can derive the vector from the vector dot product formula.

The vector r be xi + yj and perpen`dicular to the vector given.

Thereby, the dot product between two perpendicular vectors should be zero.

r.a = (x i + y j).( i + 2 j)

r.a = x + 2 y = 0

x = -2y

So, for the magnitude we can use the formula given below,

Squaring both the sides, we get,

On substituting value of x, we get,

Therefore,

r = (6i - 3j) or r = (6i + 3j)"

Answer 2

Answer:

hope it Helps.....................™✌️✌️