My Learning Cart
?
Categories
Account

If A = 6i + 8j and B = 2i + 3j, find A · B.

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If A = 6i + 8j and B = 2i + 3j, find A · B.

Options:

  1. 36
  2. 42
  3. 30
  4. 24

Correct Answer: 36

Solution: 

A · B = (6)(2) + (8)(3) = 12 + 24 = 36.

If A = 6i + 8j and B = 2i + 3j, find A · B.

Practice Questions

Q1
If A = 6i + 8j and B = 2i + 3j, find A · B.
  1. 36
  2. 42
  3. 30
  4. 24

Questions & Step-by-Step Solutions

If A = 6i + 8j and B = 2i + 3j, find A · B.
  • Step 1: Identify the components of vector A, which are 6i and 8j.
  • Step 2: Identify the components of vector B, which are 2i and 3j.
  • Step 3: Multiply the i components of A and B: 6 (from A) times 2 (from B) equals 12.
  • Step 4: Multiply the j components of A and B: 8 (from A) times 3 (from B) equals 24.
  • Step 5: Add the results from Step 3 and Step 4: 12 plus 24 equals 36.
  • Step 6: The final result of A · B is 36.
  • Dot Product – The dot product of two vectors is calculated by multiplying their corresponding components and summing the results.
  • Vector Components – Understanding how to break down vectors into their i and j components is essential for performing vector operations.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks