Question

? If ē, & ē, are two unit vectors and O is the angle
between them, then sin
1
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e. e2
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coin 1270 cos (530) is.​

Answer 1

Answer:

E1 and e2 are two unit vector

angle between them = ∅

we know,

| A - B | = √(| A|² +| B|² - 2|A||B|.cos∅ )

use this ,

|e1 - e2 | =√ ( |e1|² +| e2|² - 2|e1|.|e2|cos∅)

here , e1 and e2 unit vectors

so, |e1 | = 1

|e2 | = 1

|e1 - e2 | = √( 1² + 1² -2.1.1 cos∅)

= √( 2 - 2cos∅)

= √2(1 - cos∅)

= √2×2sin²∅/2

=2sin∅/2

hence, | e1 -e2 | = 2sin∅/2

sin∅/2 = 1/2 | e1 - e2 |

hence, proved ///

[ note :- ( 1 - cos∅) = 2sin²∅/2]

Explanation:

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