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  $\overrightarrow{a}\times \overrightarrow{b}=\left|\begin{array}{ccc}\hfill \widehat{i}\hfill & \hfill \widehat{j}\hfill & \hfill \widehat{k}\hfill \\ \hfill a_1\hfill & \hfill a_2\hfill & \hfill a_3\hfill \\ \hfill 1\hfill & \hfill 1\hfill & \hfill \lambda \hfill \end{array}\right|$              

$=\left(\lambda a_2-a_3,a_3-a_1\lambda ,a_1-a_2\right)$

$=\left(13,-1,-4\right)$

$\overrightarrow{a}.\overrightarrow{b}=-21$

$\Rightarrow a_1+a_2+a_3\lambda =-21$

$\lambda a_2-a_3=13\Rightarrow \lambda =\frac{13+a_3}{a_2}=\frac{a_3+1}{a_1}$

$\overrightarrow{b}-\overrightarrow{a}=\left(3,-1,10\right)$

$\overrightarrow{b}+\overrightarrow{a}=\left(-1,3,-4\right)$

= 11 + 3 + 14               

Pritzker School of Molecular Engineering is an educational private, non-profit institution which is a part of a private university i.e. University of Chicago. Earlier PME was just an Engineering programme known as the Institute for Molecular Engineering but later due to much success, the institute expanded which led to the emergence of Pritzker School of Molecular Engineering. In 2019, the institute was elevated to the Pritzker School of Molecular Engineering and was recognised as the first school in the nation dedicated to this emerging field. 

$mean=\frac{n\left(n+1\right)/2}{n}$           

  $=\frac{n+1}{2}$            For n = 2k – 1, k   $\in N$

mean = k

mean deviation = avg. of deviations

$=\frac{2\left(\stackrel{0+}{1}+2+...\left(k-1\right)\right)}{2k-1}=\frac{\left(k-1\right)k}{2k-1}$

$=\frac{5\left(2k\right)}{k-1}\Rightarrow k=11\Rightarrow n=2k-1=21$            

               

Yes, George Brown offers several degrees, diploma, and PG courses. In total, it offers more than 200 programs to choose from to its students across fields like Arts, IT, Business, etc. Some of its top courses include Diploma in Health Information Management, Diploma in Hospitality Hotel Operations Management, Diploma in Hospitality Hotel Operations Management, etc.

Georgetown University is among the best private Jesuit research university in the United States of America. The university offers quality education through its 10 colleges and academic units. Some popular programs at Georgetown University include MBA, Computer Science, Psychology, Marketing, Business Administration, etc. As the third-the highest paid undergraduate in the USA, the most sought-after institution on Wall Street. Also, the most prestigious institution in the Foreign Service, and the second most represented institution in the US Congress. Along with this, Georgetown University excels in post-graduation prospects.

A formal request letter is written to ask for something-such as documents, permission, details or information or assistance from an authoritative person. It should be clear, precise, and respectful in tone. To write a formal request letter, here are the steps:

• Start the letter by writing your details
• Add the recipients details
• Then, write a clear and concise subject line
• Use proper salutation
• Then, start writing the letter. Give proper introduction, add details, and then, conclude the letter
• Make a polite closing request
• End the letter using a formal closing line

Calicut University BSc Seats 2025 offers 21,021 seats for its BSc programme. Each specialoisation have different seat capacity.

To write a formal letter in English, one can follow the rules given below:

• Use a standard format
• Make sure the tone in the letter is polite and formal
• Write clearly and make sure the purpose of writing this letter has been mentioned in the subject line
• Make sure the salutation used is right. Also, make sure the closing of the letter is done in a proper format
• Use correct spelling, grammar, and punctuation
• Align the text to the left

Yes, Georgetown University accepts IELTS exam as a part of English language requirement. Georgetown University offers admissions for international students in three intakes namely Fall, Spring, and Summer intake. International students whose native language is not English, must submit proof of English proficiency at Georgetown University. The university also accepts English language test such as TOEFL, and more. International students must meet the minimum English test score requirement at Georgetown University that are listed below

A formal letter is sent when one has to communicate in a professional, respectful, and structured way. The common situations when a formal letter is sent are:

• Academic settings: Requesting for a leave, raising a complaint, asking for a certificate
• Government-related communication: Raising concerns, requesting documents, seeking any important information
• Job applications: Applying for a job, following up for an interview
• Business communication: Pitching an idea, proposing a partnership, filing a complaint
• Legal or official purpose: Give notice, make a complaint, appeal a decision

In simple language, formal letter writing refers to the process of writing letters in a professional, structural, and official format. These letters are used for official communication. These letters are usually addressed to authorities, institutions or employers. Some of the main features of the formal letter writing include that it uses formal tone and language, has a clear structure, and maintains politeness and professionalism. The common type of formal letters are:

• Job application letters
• Inquiry letters
• Complaint letters
• Inquiry letters
• Business correspondence
• Letters to government officials

When it comes to the George Brown College Reviews given by students on Shiksha, the university has been rated 3.6 for Internships, 3.1 for Part time work, 3.7 for Post study jobs, and 3.9 for Value of Money. In conclusion, the overall rating of GBC is 3.9 and the George Brown College placements can be considered worthwhile.

Semester Grade Point Average (SGPA) is calculated for each semester. It evaluates students on the basis of overall performance in a semester. Whereas Cumulative Grade Point Average (CGPA) is calculated at the end of the course. CGPA calculates overall performance of the student during the programme.

BSc programmes is divided into six semesters. Subjects are usually divided intio Discipline-Specific Core (DSC) subjects and Discipline-Specific Electives (DSE) subjects. Students also gain hands on experience as part of practical component of the course. Both theory exam and Internal Assessment holds weightage in BSc total marks.