MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Angle Sum Property

If a →, b →, ...

Question

If $\vec{a}, \vec{b}, \vec{c}$ represent the sides of a triangle taken in order, then $\vec{a} + \vec{b} + \vec{c}$ = _______________.

Open in App

Solution

$Let A B C be a triangle such tha t \vec{A B} = \vec{c}, \vec{B C} = \vec{a} and \vec{C A} = \vec{b} . \vec{a} + \vec{b} + \vec{c} = \vec{B C} + \vec{C A} + \vec{A B} = \vec{B B} = \vec{0}$

Hence, $\vec{a} + \vec{b} + \vec{c}$ = $\vec{0} .$

Suggest Corrections

thumbs-up

0

Similar questions

\vec{a}

\vec{b}

\vec{c}

represent the sides of a triangle taken in order, then write the value of

\vec{a} + \vec{b} + \vec{c} .

\to a, \to b, \to c

be the vectors represented by the sides of a triangle taken in order, then prove that

\to a + \to b + \to c = 0

\to a, \to b, \to c, \to d

be the vectors represented by the sides of a quadrilateral, taken in order, then

\to a + \to b + \to c + \to d = 0 .

a, b

c

represent the lengths of sides of a triangle, then the possible integral value of

\frac{a}{b + c} + \frac{b}{c + a} + \frac{c}{a + b}

Q. If a, b, and c represent the lengths of sides of a triangle; then the possible integral value of

\frac{a}{b + c} + \frac{b}{c + a} + \frac{c}{a + b}

2

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of Triangle

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Angle Sum Property

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon