Question

The
angle between the direction of i and (1 + i) is​

Answer 1

Answer:

12th

Maths

Vector Algebra

Vector or Cross Product

The angle between the lines...

MATHS

The angle between the lines whose direction ratios are 1,1,2,

3

−1,−

3

−1,4 is.

HARD

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VIDEO EXPLANATION

ANSWER

We know If l

1

,m

1

,n

1

and l

2

,m

2

,n

2

are direction ratios of the lines, then the angle θ between them is given by

cosθ=

l

1

2

+m

1

2

+n

1

2

l

2

2

+m

2

2

+n

2

2

l

1

l

2

+m

1

m

2

+n

1

n

2

⟶1

∴ According to question

(l

1

,m

1

,n

1

)=(1,1,2)

(l

2

,m

2

,n

2

)=(

3−1

,−

3−1

,4)

Using equation 1

θ=cos

−1

⎝

⎛

1

2

+1

2

+2

2

(

3

−1)

2

+(

3

+1)

2

+4

2

3

−1−

3

−1+8

⎠

⎞

θ=cos

−1

(

2

1

)

θ=

3

π