Linear equations solve by matrix method: Solve the following system of linear equations using the matrix method: 3x + 5y = 3, 4x + 3y = 4 How to find the inverse matrix: https://youtu.be/sSoXc9hHHuw Multiplication of matrices: https://youtu.be/1S2gQAIjb-I
Vector Theorem 10: Prove that the angle in semi-circle is a right angle.
Vector Theorem 9: The position vectors of the vertices A, B and C of the ∆ABC are a ⃗,b ⃗ and c ⃗ resp. Prove that the position vector of its centroid is g ⃗=1⁄3 (a ⃗+b ⃗+c ⃗ ): https://youtu.be/AEftDrr-GIE
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Please watch: "If ?^?.?^?=(?^? )^?, show that ?/?+?/?=??−?."
https://www.youtube.com/watch?v=rZcUcisuYSc
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https://www.youtube.com/watch?v=ZBffqx9F1Vc
Exponential Equation/ Indices
If ?^?.?^?=(?^? )^?, show that ?/?+?/?=??−?. FOLLOW US:
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https://www.youtube.com/watch?v=rZcUcisuYSc
Height and Distance: Model 3
Two vertical poles are fixed 60m apart. The angle of depression of the top of the first pole as seen from the top of the second pole which is 150m high is ??^?, then find the height of the first pole.
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https://www.youtube.com/watch?v=kRztiyRxftA
Triangles standing on the same base and between the same parallel lines are equal in area
Theorem is in Nepali language
In english: https://youtu.be/bPVWHatU30o
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Please watch: "If ?^?.?^?=(?^? )^?, show that ?/?+?/?=??−?."
https://www.youtube.com/watch?v=rZcUcisuYSc
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https://www.youtube.com/watch?v=vSUn6fjJjxw
The angle at the center of a circle is double of the angle at the circumference standing on the same arc.
Theorems related with circle
Theorem is in Nepali language
In english: https://youtu.be/GiJpngY6K0E
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Please watch: "If ?^?.?^?=(?^? )^?, show that ?/?+?/?=??−?."
https://www.youtube.com/watch?v=rZcUcisuYSc
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...
https://www.youtube.com/watch?v=-Z3I8IzfZHg
Vector: Section formula for internal division:
(Section formula for internal division) The position vector of the point A is a ⃗ and the position vector of B is b ⃗. The position vector of P which divides AB internally in the ratio of m:n is p ⃗. Prove that p ⃗=(mb ⃗+na ⃗)/(m+n).
Vector: Section formula for External Division: https://youtu.be/8xzNltKUpwk
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Please watch: "If ?^?.?^?=(?^? )^?, show that ?/?+?/?=??−?."
https://www.youtube.com/watch?v=rZcUcisuYSc
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https://www.youtube.com/watch?v=OehNmCMQIWA