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Lesson Posted on 11/09/2018 Learn Vector Algebra
Raj Kumar
I am Six Sigma Black belt trained from American Society of Quality I am 2011 pass out in B.tech from...
Vector is that quantity that has direction and magnitude
for example force, velocity, acceleration and displacement
The scaler is that quantity which has the only magnitude
for example speed, volume, mass temperature, power, energy and time
The measure of a vector is a scalar quantity.
A scalar can multiply vectors. The result is another vector.
Suppose c is a scalar and v = (a, b) is a vector, then the scalar multiplication would be cv = c (a, b) = (ca, cb). Hence each component of vector gets multiplied by the scalar.
If two vectors are of the same dimension, they can be added or subtracted from each other. The result is gain a vector.
Some Basic Rules of Algebra of Vectors:
a.a = |a|2 = a2
a.b = b.a
a.0 = 0
a.b = (a cos q)b = (projection of a on b)b = (projection of b on a) a
a.(b + c) = a.b + a.c (This is also termed as the distributive law)
(la).(mb) = lm (a.b)
(a ± b)2 = (a ± b) . (a ± b) = a2 + b2 ± 2a.b If a and b are non-zero, then the angle between them is given by cos θ = a.b/|a||b|
a x a = 0
a x b = - (b x a)
a x (b + c) = a x b + a x c
read lessAnswered on 27/08/2018 Learn Vector Algebra
Mr. Avinash
Tutor
If two unit vector in same direction (along),third unit vector in opposite direction situated after applying law's of vector addition along coordinate we will gate unit vector..which is result of three unit vector.NOw in second case if two unit vector is 120 degree to each other the results will be equal to unit vector after applying law's of vector addition...if u split in cordcoordi system hardly matter,no result will change...
read lessAnswered on 03/12/2016 Learn Vector Algebra
Sarvajeet Kumar
An Experienced Trainer
Take Tuition from the Best Tutors
Answered on 03/12/2016 Learn Vector Algebra
Sarvajeet Kumar
An Experienced Trainer
Answered on 03/12/2016 Learn Vector Algebra
Sarvajeet Kumar
An Experienced Trainer
Answered on 03/12/2016 Learn Vector Algebra
Sarvajeet Kumar
An Experienced Trainer
Take Tuition from the Best Tutors
Answered on 03/12/2016 Learn Vector Algebra
Sarvajeet Kumar
An Experienced Trainer
Answered on 03/12/2016 Learn Vector Algebra
Sarvajeet Kumar
An Experienced Trainer
Answered on 03/12/2016 Learn Vector Algebra
Sarvajeet Kumar
An Experienced Trainer
Take Tuition from the Best Tutors
Answered on 03/12/2016 Learn Vector Algebra
Sarvajeet Kumar
An Experienced Trainer
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