Question

If a = i^ +j^and c=j^-k^ c=a×b . find the value of costheta is angle made by c with y axis​

Answer 1

Answer:

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Answer 2

Answer:

Given:

a

=2

i

^

+

j

^

−3

k

^

and

b

=3

i

^

−2

j

^

−

k

^

a

.

b

=(2

i

^

+

j

^

−3

k

^

)(3

i

^

−2

j

^

−

k

^

)

=6−2+3=7....(1)

∣

a

∣=

2

2

+1

2

+(−3)

2

=

14

....(2)

∣

∣

∣

∣

b

∣

∣

∣

∣

=

3

2

+(−2)

2

+(−1)

2

=

14

....(3)

cosθ=

∣

a

∣.

∣

∣

∣

∣

b

∣

∣

∣

∣

a

.

b

=

14

14

7

=

2

1

cosθ=cos60

o

θ=60

o

Hence the required angle is 60

o

Explanation:

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