When vector ⃗A = 2̂i + 3̂j + 2̂k is subtracted from vector ⃗B, it gives a vector equal to 2̂j. Then the magnitude of vector ⃗B will be

Question

Accepted Answer

(1) 3. Read as the paper's key does: ⃗A - ⃗B = 2̂j, so ⃗B = ⃗A - 2̂j = 2̂i + ̂j + 2̂k. |⃗B| = √4 + 1 + 4 = 3. (The literal reading ⃗B - ⃗A = 2̂j gives ⃗B = 2̂i + 5̂j + 2̂k, |⃗B| = √33, which is not among the options; the book marks none correct, the paper's answer is 3.)

When vector ⃗A = 2̂i + 3̂j + 2̂k is subtracted from vector ⃗B, it gives a vector equal to 2̂j. Then the magnitude of vector ⃗B will be

Step-by-step solution

Why the other options are wrong