Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  CBSE XII  >>  Math  >>  Vector Algebra
Answer
Comment
Share
Q)

If the points $A(-1, 3, 2),\; B(-4, 2, -2)$ and $C (5, 5, \lambda)$ are collinear, find the value of $\lambda$


$(A) \; \lambda=-10$
$(B) \; \lambda = 10$
$(C)\; \lambda = 6$
$(D)\; \lambda = -6$

1 Answer

Comment
A)
Equation of the line passing through A (-1, 3, 2) and B (-4, 2, -2) is
$\frac{x+1}{-4+1} = \frac{y-3}{2-3} = \frac{z-2}{-2-2}$
$\frac{x+1}{-3} = \frac{y-3}{-1} = \frac{z-2}{-4}$
$\frac{x+1}{3} = \frac{y-3}{1} = \frac{z-2}{4}$
If the point A, B, C are collinear, then
$\frac{5+1}{3}= \frac{5-3}{1} = \frac{\lambda - 2}{4}$
$\implies 2 = 2 = \frac{\lambda - 2 }{4}$
$\implies \lambda = 10$
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...