CameraIcon

SearchIcon

MyQuestionIcon

1

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

Addition of Vectors

If a, b, c ar...

Question

If a, b, c are position vectors of the vertices of a $Δ A B C,$ then $- - \to A B + - - \to B C + - - \to C A =$

A

0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

2a

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

2b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

3c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 0
If we join head to tail all the vectors, then we end up at the initial point where we started, that is vertice A.
Hence the net sum is 0.

Suggest Corrections

thumbs-up

0

Similar questions

\vec{a}

\vec{b}

\vec{c}

are position vectors of the vertices A, B and C respectively, of a triangle ABC, write the value of

\vec{A B} + \vec{B C} + \vec{C A} .

\vec{a}, \vec{b} and \vec{c}

are the position vectors of the vertices A, B and C respectively of a

∆ A B C such that |\vec{a} \times \vec{b} + \vec{b} \times \vec{c} + \vec{c} \times \vec{a}| = 20,

∆ A B C

is ____________.

a, b, c

are the position vectors of the vertices

A . B, C

respectively of

Δ A B C

then find the vector equation of the median through the vertex

A

¯ ¯ ¯ a, ¯ ¯ b, ¯ ¯ c

are position vectors of vertices

A, B, C

Δ A B C

¯ ¯ ¯ r

is position vector of a point

P

(| ¯ ¯ b - ¯ ¯ c | + | ¯ ¯ c - ¯ ¯ ¯ a | + | ¯ ¯ ¯ a - ¯ ¯ b |) ¯ ¯ ¯ r

= | ¯ ¯ b - ¯ ¯ c | ¯ ¯ ¯ a + | ¯ ¯ c - ¯ ¯ ¯ a | ¯ ¯ b + | ¯ ¯ ¯ a - ¯ ¯ b | ¯ ¯ c

P

A, B, C

are the vertices of a triangle whose position vectors are

a, b, c

G

is the centroid of the

Δ A B C

¯ ¯¯¯¯¯¯ ¯ G A + ¯ ¯¯¯¯¯¯ ¯ G B + ¯ ¯¯¯¯¯¯ ¯ G C

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Vector Addition

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Addition of Vectors

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon