Given ∣a∣=2, ∣b∣=3, and a⋅b=4
For any two vectors, the magnitude of their difference is:
∣a−b∣2=∣a∣2+∣b∣2−2(a⋅b)
Substituting the given values:
∣a−b∣2=(2)2+(3)2−2(4)
∣a−b∣2=4+9−8
∣a−b∣2=5
Taking the square root:
∣a−b∣=5
Therefore, ∣a−b∣=5
Let a, b be two vectors such that | a| = 2, | b| = 3, a · b = 4, then | a - b| is equal to
CUET UG 2025 — Mathematics Algebra
2025mcqmedium
Let a,b be two vectors such that ∣a∣=2,∣b∣=3,a⋅b=4, then ∣a−b∣ is equal to
Official previous-year question
Held on 13 May 2025 · Verified 13 Jul 2026.
Options
- A
0
- B
5
- C
5
- D
1
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