Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
If the position vector of point P is given by r = 3i + 4j, what is the distance
If the position vector of point P is given by r = 3i + 4j, what is the distance of point P from the origin?
Expand All
Collapse All
Practice Questions
1 question
Q1
If the position vector of point P is given by r = 3i + 4j, what is the distance of point P from the origin?
5
7
4
3
Show Solution
Copy
Distance = |r| = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
Questions & Step-by-step Solutions
1 item
Q
Q: If the position vector of point P is given by r = 3i + 4j, what is the distance of point P from the origin?
Solution:
Distance = |r| = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.
Steps: 9
Show Steps
Step 1: Identify the position vector of point P, which is given as r = 3i + 4j.
Step 2: Understand that the distance from the origin to point P can be found using the formula for the magnitude of the vector.
Step 3: The formula for the magnitude (or distance) of a vector r = ai + bj is |r| = √(a^2 + b^2).
Step 4: In our case, a = 3 and b = 4.
Step 5: Substitute the values into the formula: |r| = √(3^2 + 4^2).
Step 6: Calculate 3^2, which is 9, and 4^2, which is 16.
Step 7: Add the results: 9 + 16 = 25.
Step 8: Take the square root of 25: √25 = 5.
Step 9: Conclude that the distance of point P from the origin is 5.
Related Questions
I
If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the wi
Question: If the perimeter of a rectangle is 50 cm and the length is 15 cm, what is the width? (2020..
I
If the ratio of the sides of a triangle is 3:4:5, what type of triangle is it? (
Question: If the ratio of the sides of a triangle is 3:4:5, what type of triangle is it? (2019)Optio..
S
Solve for x: 3x - 7 = 2x + 5. (2021)
Question: Solve for x: 3x - 7 = 2x + 5. (2021)Options: 1211109Correct Answer: 12Exam Year: 2021Solut..
I
If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28 years
Question: If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28 years, what is ..
W
What is the value of the expression 5! / (3! * 2!)? (2020)
Question: What is the value of the expression 5! / (3! * 2!)? (2020)Options: 10152025Correct Answer:..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
