All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
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 vector a = (2, 3) and b = (4, 1), what is the cross product a × b?
If the vector a = (2, 3) and b = (4, 1), what is the cross product a × b?
Expand All
Collapse All
Practice Questions
1 question
Q1
If the vector a = (2, 3) and b = (4, 1), what is the cross product a × b?
-10
10
0
5
Show Solution
Copy
Cross product a × b = 2*1 - 3*4 = 2 - 12 = -10.
Questions & Step-by-step Solutions
1 item
Q
Q: If the vector a = (2, 3) and b = (4, 1), what is the cross product a × b?
Solution:
Cross product a × b = 2*1 - 3*4 = 2 - 12 = -10.
Steps: 8
Show Steps
Step 1: Identify the components of vector a. Here, a = (2, 3), so the first component is 2 and the second component is 3.
Step 2: Identify the components of vector b. Here, b = (4, 1), so the first component is 4 and the second component is 1.
Step 3: Use the formula for the cross product of two 2D vectors a = (x1, y1) and b = (x2, y2). The formula is a × b = x1*y2 - y1*x2.
Step 4: Substitute the values into the formula. Here, x1 = 2, y1 = 3, x2 = 4, and y2 = 1.
Step 5: Calculate the first part of the formula: 2 * 1 = 2.
Step 6: Calculate the second part of the formula: 3 * 4 = 12.
Step 7: Subtract the second part from the first part: 2 - 12 = -10.
Step 8: The result of the cross product a × b is -10.
Related Questions
F
Find the value of tan(45°).
Question: Find the value of tan(45°).Options: 01undefined√3Correct Answer: 1Solution: tan(45°) = 1...
W
What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?
Question: What is the derivative of f(x) = x^3 - 3x^2 + 4x - 5?Options: 3x^2 - 6x + 43x^2 - 6x2x^2 -..
W
What is the value of 5C2?
Question: What is the value of 5C2?Options: 1020155Correct Answer: 10Solution: 5C2 = 5! / (2!(5-2)!)..
W
What is the value of the limit lim (x -> 0) (sin(5x)/x)?
Question: What is the value of the limit lim (x -> 0) (sin(5x)/x)?Options: 01510Correct Answer: 5Sol..
W
What is the unit vector in the direction of the vector (4, 3)?
Question: What is the unit vector in the direction of the vector (4, 3)?Options: (4/5, 3/5)(3/5, 4/5..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
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
✕
↑
