Find the angles at which the following vectors are inclined to each of the coordinate axes: ` hat j- hat k`

Explanation

The given vector is ` hat{j}-hat{k}`

Unit vector `=frac{ 0hat{i}+hat{j}-hat{k}}{|0 hat{i}+hat{j}-hat{k}|}`
`=frac{0}{sqrt{2}} hat{i}+frac{1}{sqrt{2}} hat{j}+frac{-1}{sqrt{2}} hat{k}`
So, `quad cos alpha=frac{0}{sqrt{2}} `
`Rightarrow alpha=cos ^{-1}(frac{0}{sqrt{2}} ) `


`cos beta= frac{1}{sqrt{2}} Rightarrow beta=cos ^{-1}( frac{1}{sqrt{2}})`



`cos gamma=frac{-1}{sqrt{2} `
`Rightarrow gamma=cos ^{-1}(frac{-1}{sqrt{2}})`


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