Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XII  >>  Math  >>  Model Papers
0 votes

For two non zero vectors $ \overrightarrow a \: and \: \overrightarrow b$ write when $ |\overrightarrow a+\overrightarrow b | = | \overrightarrow a | + | \overrightarrow b | $

Can you answer this question?

1 Answer

0 votes
  • Two or more vectors are said to be collinear if their magnitudes are equal or proportional.
Step 1:
$\mid\overrightarrow{a}+\overrightarrow {b}\mid=\mid\overrightarrow a\mid+\mid\overrightarrow b\mid$
When $ \overrightarrow a,\overrightarrow b$ are collinear vectors,
Let $\overrightarrow{OA}=\overrightarrow a,\overrightarrow{AB}=\overrightarrow b$ then
$\overrightarrow a+\overrightarrow b=\overrightarrow {OA}+\overrightarrow{AB}=\overrightarrow{OB}$
Step 2:
Hence when $\overrightarrow{a}$ and $\overrightarrow{b}$ are collinear vectors.
$\mid\overrightarrow{a}+\overrightarrow {b}\mid=\mid\overrightarrow a\mid+\mid\overrightarrow b\mid$
Hence proved.
answered Nov 8, 2013 by sreemathi.v

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App