Q) Two vectors 𝐚 ⃗=𝐚_𝟏 𝐢+𝐚_𝟐 𝐣 ̂+𝐚_𝟑 𝐤 ̂ and 𝐛 =𝐛_𝟏 𝐢+𝐛_𝟐 𝐣+𝐛_𝟑 𝐤 are collinear
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Q) Two vectors 𝐚 ⃗=𝐚_𝟏 𝐢+𝐚_𝟐 𝐣 ̂+𝐚_𝟑 𝐤 ̂ and 𝐛 =𝐛_𝟏 𝐢+𝐛_𝟐 𝐣+𝐛_𝟑 𝐤 are collinear
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Q) Assertion (A) : If |𝑎 ⃗×𝑏 ⃗|^2+|𝑎 ⃗⋅𝑏 ⃗|^2=256 and |𝑏 ⃗|=8, then |a ⃗|=2.Reason (𝑅): sin
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Q) Assertion (A) : If |𝑎 ⃗×𝑏 ⃗|^2+|𝑎 ⃗⋅𝑏 ⃗|^2=256 and |𝑏 ⃗|=8, then |a ⃗|=2.Re…
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Q) Find all the possible vectors of magnitude 5√𝟑 which are equally inclined to th coordinate axes.
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Q) Find all the possible vectors of magnitude 5√𝟑 which are equally in…
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Q) If the vector 𝐢 ̂−𝐛𝐣 ̂+𝐤 ̂ is equally inclined to the coordinate axes, then the value of b is
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Q) If the vector 𝐢 ̂−𝐛𝐣 ̂+𝐤 ̂ is equally inclined to the coordinate axes, th…
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Q) a 𝐚𝐧𝐝 𝐛 ⃗ are two non-zero vectors such that the projection of 𝐚 ⃗ 𝐨𝐧 𝐛 ⃗ is 0.
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Q) a 𝐚𝐧𝐝 𝐛 ⃗ are two non-zero vectors such that the projection of 𝐚 ⃗ 𝐨𝐧 𝐛 ⃗ is 0.
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Q) Using vectors, find the value of K such that the points (K,−11,2),(0,−2,2) and (2,4,2)
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Q) Using vectors, find the value of K such that the points (K,−11,2),(0,−…
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If 𝐚 ⃗, 𝐛 ⃗, 𝐜 ⃗ are three vector such that 𝐚 ⃗.𝐛 ⃗=𝐚 ⃗.𝐜 ⃗ 𝐚𝐧𝐝 𝐚 ⃗×𝐛 ⃗=𝐚 ⃗×𝐜 ⃗,
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If 𝐚 ⃗, 𝐛 ⃗, 𝐜 ⃗ are three vector such that 𝐚 ⃗.𝐛 ⃗=𝐚 ⃗.𝐜 ⃗ 𝐚𝐧𝐝 𝐚 ⃗×𝐛 ⃗=𝐚 ⃗×𝐜 ⃗,
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Class 12 Maths Chapter 10: Vector Algebra | Complete Concept & Exe…
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Q) If 𝐚 𝐚𝐧𝐝 𝐛 are two vectors of equal magnitude and 𝛂 it |𝐚 ⃗+𝐛 ⃗ |/|𝐚 ⃗−𝐛 ⃗ | =
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Q) If (PQ) ⃗×(PR) ⃗=4i ˆ+8j ˆ−8k ˆ, then the area (△PQR) is #cbse2026 #m…
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𝐚 ⃗, 𝐛 ⃗ 𝐚𝐧𝐝 𝐜 ⃗ are three mutually perpendicular unit vectors. If 𝛉 is th…
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Q) If |𝑎 ⃗+𝑏 ⃗ |=60,|𝑎 ⃗−𝑏 ⃗|=40 and |𝑏 ⃗|=46, then find |𝑎 ⃗|.#vectoralgebra #vectors
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Q) If 𝐚 ⃗.𝐢 =𝐚 ⃗.(𝐢 ̂+𝐣 ̂ ) =𝐚 ⃗.(𝐢 ̂+𝐣 ̂+𝐤 ̂ )=𝟏, then 𝐚 ⃗ #cbse2026 #class12math
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Q) If 𝐚 ⃗=𝟐𝐢 ̂+𝐲𝐣 ̂+𝐤 ̂ and 𝐛 ⃗=𝐢 ̂+𝟐𝐣 ̂+𝟑𝐤 ̂ are two vectors for which the vector
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If |𝐚 ⃗×𝐛 ⃗ |^𝟐+|𝐚 ⃗.𝐛 ⃗ |^𝟐=𝟒𝟎𝟎 𝐚𝐧𝐝 |𝐛 ⃗ |=𝟓, then find the value of |𝐚 ⃗ |.#vect
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Q) The magnitude of the vector 𝟔𝐢 ̂−𝟐𝐣 ̂+𝟑𝐤 ̂ is #cbse2026 #maths #class12maths
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Q) Unit vector along (𝐏𝐐) ⃗ where coordinates of P and Q are (2, 1, -1…
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Q) If the angle between the vectors 𝐚 ⃗ 𝐚𝐧𝐝 𝐛 ⃗ 𝐢𝐬 𝛑/𝟒 𝐚𝐧𝐝 |𝐚 ⃗×𝐛 ⃗ | = 1, then
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Q) The value of (𝐢 ̂×𝐣 ̂ ).𝐣 ̂+(𝐣 ̂×𝐢 ̂ ).𝐤 ̂ is #vectoralgebra #cbse2026 #maths
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Q) Let 𝛉 be the angle between two-unit vectors 𝐚 ̂ 𝐚𝐧𝐝 𝐛 ̂ 𝐬𝐢𝐧𝛉=𝟑/𝟓. Then, 𝐚 ̂ .𝐛 ̂
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Q) Let p ⃗ and q ⃗ be two unit vectors and 𝛼 be the angle between them. T…
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Q) The unit vector perpendicular to both vectors 𝐢 ̂+𝐤 ̂ 𝐚𝐧𝐝 𝐢 ̂−𝐤 ̂ is #cbse2026 #…
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