NEET Foundation 2022
NEET Foundation 2022.
The scalar product of the vector with a unit vector along the sum of the vectors
is equal to 1. Find the value of
and hence find the unit vector along
NEET Foundation 2022.
Biology Foundation for Class 10.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.
Then ,

![\left ( \hat{i}+ \hat{j}+ \hat{k} \right )\cdot \left [ \frac{\left ( 2+\lambda \right ) \hat{i}+6 \hat{j}-2 \hat{k}}{\sqrt{\left ( 2+\lambda \right )^{2}+40}} \right ]= 1](https://learn.careers360.com/latex-image/?%5Cleft%20%28%20%5Chat%7Bi%7D+%20%5Chat%7Bj%7D+%20%5Chat%7Bk%7D%20%5Cright%20%29%5Ccdot%20%5Cleft%20%5B%20%5Cfrac%7B%5Cleft%20%28%202+%5Clambda%20%5Cright%20%29%20%5Chat%7Bi%7D+6%20%5Chat%7Bj%7D-2%20%5Chat%7Bk%7D%7D%7B%5Csqrt%7B%5Cleft%20%28%202+%5Clambda%20%5Cright%20%29%5E%7B2%7D+40%7D%7D%20%5Cright%20%5D%3D%201)

![\left [ \because \hat{i}\cdot \hat{i}= 1,\hat{j}\cdot \hat{j}= 1,\hat{k}\cdot \hat{k}= 1 \right ]](https://learn.careers360.com/latex-image/?%5Cleft%20%5B%20%5Cbecause%20%5Chat%7Bi%7D%5Ccdot%20%5Chat%7Bi%7D%3D%201%2C%5Chat%7Bj%7D%5Ccdot%20%5Chat%7Bj%7D%3D%201%2C%5Chat%7Bk%7D%5Ccdot%20%5Chat%7Bk%7D%3D%201%20%5Cright%20%5D)










given,
On squaing both sides, we get
then,
unit vector along