Question

find the angle between (i+j) and (i-j) ,,,explain with steps​

Answer 1

Answer:

a⃗  = 5i – j + k and

b⃗  = i + j – k

The dot product is defined as

a⃗ .b⃗ = (5i – j + k)(i + j – k)

a⃗ .b⃗ = (5)(1) + (-1)(1) + (1)(-1)

a⃗ .b⃗ = 5-1-1

a⃗ .b⃗ = 3

The Magnitude of vectors is given by

|a⃗ |=(52+(−1)2+12)−−−−−−−−−−−−−−√=27−−√=5.19

 

|b⃗ |=(12+12+(−1)2)−−−−−−−−−−−−−−√=3–√=1.73

 

The angle between the two vectors is

θ=cos−1a⃗ .b⃗ |a⃗ ||b⃗ |

 

θ=cos−13(5.19)(1.73)

 

θ=cos−138.97

 

θ=cos−1(0.334)

 

θ=70.48

Explanation:

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Answer 2

Explanation:

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