Answer: Vector= [tex]\frac{48i}{\sqrt{113} } + \frac{42j}{\sqrt{113} }[/tex]
Step-by-step explanation:
A vector w of length 6 in the direction of v= 8i + 7j is given by
Vector= Length x Vector/Magnitude of vector
Here, Length= 6
Vector= 8i + 7j
Magnitude of vector= [tex]\sqrt{(8)^2+(7)^2}[/tex]
Magnitude of vector= [tex]\sqrt{113\\[/tex]
So, Vector= 6 x [tex]\frac{8i + 7j}{\sqrt{113} }[/tex]
Vector= [tex]\frac{48i}{\sqrt{113} } + \frac{42j}{\sqrt{113} }[/tex]
