Question

find m if p=î-3j+4k and mi-6j+8k have the same direction?

Answer 1

M is 2.
As per the same direction or parallel condition of two vectors,you can conclude m is 2.

Thanks.
Tripathy.

Answer 2

m = 2

Explanation:

In this question, two vectors p and q are given. We need to find the value of m if these two vectors have same directions.

$p=i-3j+4k$

$q=mi-6j+8k$

Two vectors have same direction if :

$p=Kq$

$(i-3j+4k)=K(mi-6j+8k)$

$(i-3j+4k)=Kmi-6Kj+8Kk)$

Equation y and z components both sides such that,

$6K=3$ and $8K=4$

$K=\dfrac{1}{2}$

$Km=1$

$\dfrac{1}{2}m=1$

m = 2

So, the value of m is 2.

Learn more :

Vectors

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