A LEVELS P3 VECTORS

This video explains how to:
1. Use standard notations for vectors
2. Carry out addition and subtraction of vectors and multiplication of a vector by a scalar, and interpret these operations in geometrical terms
3. Calculate the magnitude of a vector, and use unit vectors, displacement vectors and position vectors
4. Understand the significance of all the symbols used when the equation of a straight line is expressed in the form r = a + tb, and find the equation of a line, given sufficient information
determine whether two lines are parallel, intersect or are skew, and find the point of intersection of two lines when it exists
5. Use formulae to calculate the scalar product of two vectors, and use scalar products in problems involving lines and points.

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0:00 marathon begins
8:15 starts
13:00 intro
18:10 magnitude of a vector
20:00 unit vector
27:30 parallel & collinear vectors
35:00 position vectors
38:28 dot product
54:40 ways in which vectors can be multiplied
57:00 break
1:10:18 vectors (p3)
1:12:59 eq. of a line
1:20:40 vector to parametric form
1:24:16 parametric to cartesian form
1:32:48 sometimes cartesian is in incorrect form
1:39:48 ways in which eq. of line will be asked
1:51:17 two lines
1:55:15 practice question
2:05:18 point of intersection
2:07:09 angle of intersection
2:11:55 foot of perpendicular
2:21:28 ways of finding distance
2:29:05 practice questions

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[nted]

00:00 Setting up stream
16:15 Start
18:05 Magnitude of vectors
19:45 Unit vectors
22:37 Unit vector example questions
27:09 Parallel and colinear vectors
35:01 Position vectors
1:11:01 The vector equation of a line
1:20:40 Vector to Parametric form
1:23:15 Parametric to Cartesian form
1:27:10 Forms, point and direction vector
1:40:00 How questions come
1:51:30 Two Lines
2:05:20 Point of intersection
2:07:10 Angle of intersection
2:12:00 Foot of perpendicular
2:28:40 Past paper question #1
2:37:45 Past paper question #2

[binodtharu]

Very useful video especially if your trying to learn this topic from scratch. Intuitive and zainematics the best YouTube channels for a level maths.

[maryamme]

Start: 16:15
Magnitude of vectors: 18:05
Unit vectors: 19:45
Unit vector example questions: 22:37
Parallel and colinear vectors: 27:09
Position vectors: 35:01
The vector equation of a line: 1:11:01

[XunaibSamar]

The lecture was worth my time, can't understand why I can't focus in school but here, Thank u much sir, u r great 😭🥹

[CodingVerse]

Today I probably took my last class with Sir Zain, cause today was my A-Levels P3 so I am done with my A-Levels, I just wanted to say thank you sir may Allah bless you with a long healthy life as you were a great blessing in both O and A Levels♥. I will miss taking your classes😢

[lunalinedigital_]

May you LIVE A LONG HEALTHY LIFE AMEEN
YOU'RE A HUGE BLESSING SIR, CAN'T THANK YOU ENOUGH

[harsh]

1:20:17 actually answer were for lamda 5, sir just mistakenly written 2 instead of 5 . Just chill🎉

[rayannaseer]

Appreciate u sir. Amazing work MashAllah. Covered almost all syllabus for mids in 3 days. Allah aap ko khush rakhey.

[manojnarajojha]

inshallah, you live a long healthy life.

[MohammadSaad-ch]

Hope you achieve more than what you’ve expected. Your videos are life saviour❤

[riflevision]

Sir in the case of perpendicular vectors, shouldn't they they be diverging or converging out/in a point?

[lybahwaqas]

Sir Allah app ko hamesha kamyaab aur khush rakhay.

[aakarsaramessur]

at 2:20:41 when we are using dot product to find lamda, shouldn't we multiply one of the vectors by -1? because according to the rules, it needs to either converge or diverge right?

[muhammadwasithussain]

Sir any updates on when ur starting S2?

[javeria]

sir where can we send you any math related questions

[kirozin_]

is there any difference between this and the current 2023-2025 syllabus? @ZAINEMATICS

[Elpsycongroo]

2:45:20 is this removed from our syllabus 2024

[hozaannn]

1:33:20 currently rambling about how wholesome and cute this was to my friends lol

[VELA-insaan]

sir cos inverse toh hamney alpha nahi deta?....toh ismay cos inverse kar kay theta ki value kesay a gayi at 2:10:28

[ark.kurosaki]

in 28:33 can constant also known as scalar ?