if i cap , jcap and kcap represents unit vectors along the x , y ,and

1.	if i cap , jcap and kcap represents unit vectors along the x , y ,and z axis then find the angle between i cap + jcap +k cap and i cap +j cap
Answer» We know from the dot product RULE that , A.B = \|A\| \|B\| cosФ So, cosФ = (A.B) /(\|A\| \|B\|) cosФ = (( i + j + K).(j +k))/ (√3 ×√2) cosФ = 2/(√6) So, Ф = cos INVERSE of (2 /√6) This will be the required angle between the vectors

if i cap , jcap and kcap represents unit vectors along the x , y ,and z axis then find the angle between i cap + jcap +k cap and i cap +j cap

Answer»

We know from the dot product RULE that ,

A.B = |A| |B| cosФ

So,

cosФ = (A.B) /(|A| |B|)

cosФ = (( i + j + K).(j +k))/ (√3 ×√2)

cosФ = 2/(√6)

So,

Ф = cos INVERSE of (2 /√6)

This will be the required angle between the vectors

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if i cap , jcap and kcap represents unit vectors along the x , y ,and z axis then find the angle between i cap + jcap +k cap and i cap +j cap

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