Let the vectors and be perpendicular

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Let the vectors

\langle m,\,1,\,n\rangle

and

\langle 2,\,m,\,-3\rangle

be perpendicular. If

m+n=4

, determine the value of

m

. (a)

4

(b)

\dfrac{11}{5}

(c)

2

(d)

1