Question

Find the unit vector parallel to both i+j+k,2i+j+3k​

Answer 1

Given :   vector

i + j + k

2i + j + 3k​

To Find :   unit vector parallel  to

i + j + k

2i + j + 3k​

Solution:

A  =  i + j + k

|A | = √(1² + 1²  + 1²) = √3

Unit vector parallel to A   =  A/|A|

Unit vector parallel to  i + j + k

= (1/√3) (i + j + k )

= i/√3 + j/√3  + k/√3

B = 2i + j + 3k​

| B | = √(2² + 1²  + 3²) = √14

Unit vector parallel to  2i + j + 3k

= (1/√14) (2i + j + 3k)

= 2i/√14 + j/√14 + 3k/√14

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Answer 2

Answer:

Given :   vector

i + j + k

2i + j + 3k

To Find :   unit vector parallel  to

i + j + k

2i + j + 3k

Solution:

A  =  i + j + k

|A | = √(1² + 1²  + 1²) = √3

Unit vector parallel to A   =  A/|A|

Unit vector parallel to  i + j + k

= (1/√3) (i + j + k )

= i/√3 + j/√3  + k/√3

B = 2i + j + 3k

| B | = √(2² + 1²  + 3²) = √14

Unit vector parallel to  2i + j + 3k

= (1/√14) (2i + j + 3k)

= 2i/√14 + j/√14 + 3k/√14

Learn More:

Question for physics Show that i cap - j cap / root 2 is unit ...

https://brainly.in/question/11519013

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