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Vector Addition and the Resultant for JEE: 26 solved questions

Real JEE paper questions on vector addition and the resultant, part of motion in a plane. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2024. No sign-in needed to read them.

What this topic asks

• Magnitude of the resultant — 15 questions
• Vector subtraction — 8 questions
• Direction of the resultant — 3 questions

All 26 questions with solutions

• The angle between vector ⃗Q and the resultant of (2⃗Q + 2⃗P) and (2⃗Q - 2⃗P) is JEE Main 5th April 1st Shift 2024
• If two vectors ⃗A and ⃗B having equal magnitude R are inclined at an angle θ, then JEE Main 31st Jan 2nd Shift 2024
• Two forces having magnitude A and /A2 are perpendicular to each other. The magnitude of their resultant is JEE Main 8th April 1st Shift 2023
• When vector ⃗A = 2̂i + 3̂j + 2̂k is subtracted from vector ⃗B, it gives a vector equal to 2̂j. Then the magni… JEE Main 11th April 2nd Shift 2023
• A vector in x-y plane makes an angle of 30° with y-axis. The magnitude of y-component of vector is 2√3. The m… JEE Main 15th April 1st Shift 2023
• Which of the following relations is true for two unit vectors ̂A and ̂B making an angle θ to each other? JEE Main 25th June 1st Shift 2022
• Two vectors ⃗A and ⃗B have equal magnitudes. If magnitude of ⃗A + ⃗B is equal to two times the magnitude of ⃗… JEE Main 29th June 1st Shift 2022
• The magnitude of vectors OA⃗, OB⃗ and OC⃗ in the given figure are equal. The direction of OA⃗ + OB⃗ - OC⃗ wit… JEE Main 26th Aug 1st Shift 2021
• The angle between vector (⃗A) and (⃗A - ⃗B) is (the vectors are drawn in the figure; the interior angle marke… JEE Main 26th Aug 2nd Shift 2021
• The resultant of the forces OP⃗, OQ⃗, OR⃗, OS⃗ and OT⃗ shown in the figure is approximately N. [Take √3 = 1.7… JEE Main 27th Aug 1st Shift 2021
• Statement I: Two forces (⃗P + ⃗Q) and (⃗P - ⃗Q) where ⃗P ⊥ ⃗Q, when act at an angle θ₁ to each other, the mag… JEE Main 31st Aug 2nd Shift 2021
• Statement I: If three forces ⃗F₁, ⃗F₂ and ⃗F₃ are represented by three sides of a triangle and ⃗F₁ + ⃗F₂ = -⃗… JEE Main 31st Aug 2nd Shift 2021
• Two vectors ⃗P and ⃗Q have equal magnitudes. If the magnitude of ⃗P + ⃗Q is n times the magnitude of ⃗P - ⃗Q,… JEE Main 20th July 2nd Shift 2021 (also JEE Main 10th Jan 2nd Shift 2019)
• Match List I with List II, using the four triangles (i) to (iv) in the figure. (A) ⃗C - ⃗A - ⃗B = 0; (B) ⃗A -… JEE Main 25th July 1st Shift 2021
• Two vectors ⃗X and ⃗Y have equal magnitude. The magnitude of (⃗X - ⃗Y) is n times the magnitude of (⃗X + ⃗Y).… JEE Main 25th July 2nd Shift 2021
• Assertion A: If A, B, C, D are four points on a semi-circular arc with centre at O such that |AB⃗| = |BC⃗| =… JEE Main 27th July 1st Shift 2021
• In an octagon ABCDEFGH of equal side, what is the sum of AB⃗ + AC⃗ + AD⃗ + AE⃗ + AF⃗ + AG⃗ + AH⃗, if AO⃗ = 2̂… JEE Main 25th Feb 1st Shift 2021
• Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle θ with each other. If the force Q i… JEE Main 10th Jan 2nd Shift 2019
• A vector ⃗A is rotated by a small angle Δθ radians (Δθ 1) to get a new vector ⃗B. In that case |⃗B - ⃗A| is JEE Main Online 2015
• Two forces are such that the sum of their magnitudes is 18 N and their resultant is 12 N which is perpendicul… AIEEE 2002
• Two forces ⃗F₁ and ⃗F₂ are acting on a body. One force has magnitude thrice that of the other force and the r… JEE Main 4th April 1st Shift 2024
• Three vectors OP⃗, OQ⃗ and OR⃗ each of magnitude A are acting as shown in figure. The resultant of the three… JEE Main 8th April 1st Shift 2024
• If ⃗a and ⃗b makes an angle cos⁻¹(5/9) with each other, then |⃗a + ⃗b| = √2|⃗a - ⃗b| for |⃗a| = n|⃗b|. The in… JEE Main 9th April 1st Shift 2024
• The resultant of two vectors ⃗A and ⃗B is perpendicular to ⃗A and its magnitude is half that of ⃗B. The angle… JEE Main 9th April 2nd Shift 2024
• A vector has magnitude same as that of ⃗A = 3̂i + 4̂j and is parallel to ⃗B = 4̂i + 3̂j. The x and y componen… JEE Main 30th Jan 2nd Shift 2024
• The sum of two forces ⃗P and ⃗Q is ⃗R such that |⃗R| = |⃗P|. The angle θ (in degrees) that the resultant of 2… JEE Main 7th Jan 2nd Shift 2020