Physics, asked by sanika1947, 5 months ago

p= i-2j+2k and Q=3i-j+k. find the vector which when added to ( P-Q) will give a unit vector along the z-axis​

Answers

Answered by s1676ixautkrishtmaha
0

Answer:

Let required vector be a

i

+b

j

+c

k

∵ It makes equal angle with x and y-axis.

a

2

+b

2

+c

2

a

=

a

2

+b

2

+c

2

b

⟹a=b

∵It is a unit vector.

⟹a

2

+b

2

+c

2

=1−(i)

and it is orthogonal to −

i

+2

j

+2

k

⟹−a+2b+2c=0

∵a=b

⟹−a+2a+2c=0

⟹2c=−a

⟹c=

2

−a

Puttingb=a,c=

2

−a

in(i):

⟹a

2

+a

2

+

4

a

2

=1

⟹4a

2

+4a

2

+a

2

=4

⟹9a

2

=4

⟹a=±

3

2

∴a

i

+b

j

+c

k

=a

i

+a

j

+

2

−a

k

3

1

(2

i

+2

j

k

)

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