Geometry

Properties of a Vector

Vector Addition

         

Two vectors a\vec{a}, b\vec{b} are shown in the diagram above. Which of the following is the same vector as a+b\vec{a}+ \vec{b}?

Given the vectors

a=(1,4),b=(2,3),p=a+3b,q=2a5b,\begin{aligned} \vec{a} &=(1, -4),\\ \vec{b} &=(2, 3),\\ \vec{p} &=-\vec{a}+3\vec{b},\\ \vec{q} &=2\vec{a}-5\vec{b}, \end{aligned}

what is 2p4q?2\vec{p}-4\vec{q}?

What real values of xx and yy satisfy the equation x(1,2)y(2,3)=(5,3)? x(1,2)-y(2,3)=(5, 3)?

Which of the following is the same vector as c\vec{c} in the regular hexagon below?

Details and assumptions

  • Let AB=a,\vec{AB}=\vec{a}, AC=b,\vec{AC}=\vec{b}, AF=c.\vec{AF}=\vec{c}.

Two vectors a\vec{a}, b\vec{b} are shown in the diagram above. Which of the following is the same vector as ab\vec{a}- \vec{b} ?

×

Problem Loading...

Note Loading...

Set Loading...