Brilliant

Today Courses

Practice

Excel in math and science.

Join using Facebook Join using Google Join using email

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Existing user? Log in

Properties of a Vector

Vector Addition

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

III II I

View wiki

by Brilliant Staff

Given the vectors

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

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

(42, 118)

(41, 116)

(43, 120)

(44, 121)

View wiki

by Brilliant Staff

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

x=0, y=-5

x=0, y=-9

x=-9, y=-7

x=-1, y=-4

View wiki

by Brilliant Staff

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

Details and assumptions

\vec{a}-2\vec{b}

2\vec{a}-\vec{b}

-\vec{a}+\vec{b}

-2\vec{a}+\vec{b}

View wiki

by Brilliant Staff

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

III I II

View wiki

by Brilliant Staff

Problem Loading...

Note Loading...

Set Loading...