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Sukirtha

Nov 20, 2014



Rajesh

Oct 5, 2013

#### State and prove de-moivre's theorem,



De-moivre’s theorem:
(cosθ + i sinθ)n = (cos nθ + i sin nθ) for all n ϵ N
Proof:
We have to prove this theorem u...

Jahnavi

Jun 18, 2014



Anubhav Singh

Dec 29, 2014

#### if a→    and b→  are non -collinear vectors ,find the value of x for which the vectors l = (2x +1)a - b and  m = (x-2)a +b are collinear?



Sol:
If l, m are collinear vectors then l = λ m

⇒ (2x +1)a - b = λ[ (x-2)a + b
]

Shakti Gayatri

Jan 26, 2015

#### What is scalar triple product.



Sol:
The scalar triple product is defined as the dot product of one of the vectors with the cross product of the other two.
Ex: ( a x b ).c

Aishwarya Joy

Mar 11, 2017



Harsh Aryan

May 26, 2015



Vinay

Mar 10, 2015

#### What is a vector?



vector is a quantity with magnitude and direction

Chokeh

Sep 11, 2014

#### find the sum of each of the following series A. 5+17+29+41+....to 20terms B. 20+18+16+14+....to 12 terms c.1-3-7-11...to n terms



Sol:
a)
Given that 5 + 17 + 29 + 41 +.......to 20 terms

d = 17 - 5 = 29 - 17 = .........= 12

So that It is in A.P.

Her a = 5 and n = 20.

...

Sukirtha

Nov 20, 2014



Rajesh

Oct 5, 2013

#### State and prove de-moivre's theorem,



De-moivre’s theorem:
(cosθ + i sinθ)n = (cos nθ + i sin nθ) for all n ϵ N
Proof:
We have to prove this theorem u...

Jahnavi

Jun 18, 2014



Anubhav Singh

Dec 29, 2014

#### if a→    and b→  are non -collinear vectors ,find the value of x for which the vectors l = (2x +1)a - b and  m = (x-2)a +b are collinear?



Sol:
If l, m are collinear vectors then l = λ m

⇒ (2x +1)a - b = λ[ (x-2)a + b
]

Shakti Gayatri

Jan 26, 2015

#### What is scalar triple product.



Sol:
The scalar triple product is defined as the dot product of one of the vectors with the cross product of the other two.
Ex: ( a x b ).c

Aishwarya Joy

Mar 11, 2017



Harsh Aryan

May 26, 2015



Vinay

Mar 10, 2015

#### What is a vector?



vector is a quantity with magnitude and direction

Chokeh

Sep 11, 2014

#### find the sum of each of the following series A. 5+17+29+41+....to 20terms B. 20+18+16+14+....to 12 terms c.1-3-7-11...to n terms



Sol:
a)
Given that 5 + 17 + 29 + 41 +.......to 20 terms

d = 17 - 5 = 29 - 17 = .........= 12

So that It is in A.P.

Her a = 5 and n = 20.

...

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