What is the scalar projection of vector A = (3, 4) onto vector B = (1, 0)?

₹0.0

Question: What is the scalar projection of vector A = (3, 4) onto vector B = (1, 0)?

Options:

Correct Answer: 3

Solution:

Scalar projection = (A · B) / |B| = (3*1 + 4*0) / 1 = 3.

What is the scalar projection of vector A = (3, 4) onto vector B = (1, 0)?

What is the scalar projection of vector A = (3, 4) onto vector B = (1, 0)?

Step 1: Identify vector A and vector B. Here, A = (3, 4) and B = (1, 0).
Step 2: Calculate the dot product of A and B. This is done by multiplying the corresponding components of A and B: (3 * 1) + (4 * 0) = 3 + 0 = 3.
Step 3: Calculate the magnitude (length) of vector B. The magnitude of B = (1, 0) is calculated as the square root of (1^2 + 0^2) = sqrt(1) = 1.
Step 4: Divide the dot product from Step 2 by the magnitude from Step 3 to find the scalar projection: Scalar projection = 3 / 1 = 3.

No concepts available.