Forces vec BC , vec CA , vec BA act along the sides of triangle ABC. If D bisects BC and E is on CA with CE = frac 1 3 CA, what is the magnitude of the resultant in terms of DE?

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SSC Applied Mathematics QUESTION #4152

Question 1

Forces $\vec{BC}$, $\vec{CA}$, $\vec{BA}$ act along the sides of triangle $ABC$. If $D$ bisects $BC$ and $E$ is on $CA$ with $CE = \frac{1}{3}CA$, what is the magnitude of the resultant in terms of $DE$?

$2DE$
$4DE$
$6DE$✔️
$3DE$

Correct Answer Explanation

Using vector addition and section formula, the resultant of forces along the sides equals $6\vec{DE}$ in magnitude.

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