Question

find a value of α such that velocities va=3i+6j and vb=2i+αj represent velocities of cars moving in same direction​

Answer 1

Explanation:

Va=Vb

3i+6j=

$lamda$

(2i+aj)

3=2lamda

6=a lamda

3/6=2/a

a=4

Answer 2

Answer:

Find the value of α.When two velocities are in same direction.

Explanation:

Here it is given that two velocities $v_{a}$ and $v_{b}$ are equal.

Here we  have,

$v_{a} = 3$Î+6j and

$v_{b} =$ 2i+αj

Step 1:

The velocities are in same direction therefore,

$v_{a}=v_{b}$

3i+6j=(2i+αj)λ

Here we take λ to equal the velocity.

Step 2:

Now we have,

3=2λ

λ=$\frac{3}{2}$

6=αλ

6=α×$\frac{3}{2}$

α=$\frac{12}{3}$

α=4

Hence, α=4