taiwan-gsat 2023 Q1

taiwan-gsat · Other · ast__math-a 6 marks Vectors Introduction & 2D Vector Word Problem / Physical Application

On a coordinate plane, a particle starts from point $( - 3 , - 2 )$ and moves 5 units in the direction of vector $( a , 1 )$ and arrives exactly at the $x$-axis, where $a$ is a positive real number. What is the value of $a$?
(1) $\frac { \sqrt { 13 } } { 2 }$
(2) 2
(3) $\sqrt { 5 }$
(4) $\frac { \sqrt { 21 } } { 2 }$
(5) $2 \sqrt { 6 }$

On a coordinate plane, a particle starts from point $( - 3 , - 2 )$ and moves 5 units in the direction of vector $( a , 1 )$ and arrives exactly at the $x$-axis, where $a$ is a positive real number. What is the value of $a$?\\
(1) $\frac { \sqrt { 13 } } { 2 }$\\
(2) 2\\
(3) $\sqrt { 5 }$\\
(4) $\frac { \sqrt { 21 } } { 2 }$\\
(5) $2 \sqrt { 6 }$

Paper Questions

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