Find the length of the vector ( vec{v} = 3hat{i} - 2hat{j} + 4hat{k} )

Question

Accepted Answer

Step:1 ：The length or magnitude of a vector (vec{v}) is given by (||vec{v}|| = sqrt{x^2 + y^2 + z^2}), where (x, y, z) are the components of the vector.Step:2 ：Substitute the components of the vector (vec{v}) into the formula: (||vec{v}|| = sqrt{(3)^2 + (-2)^2 + (4)^2})Step:3 ：Simplify the expression: (||vec{v}|| = sqrt{9 + 4 + 16})Step:4 ：Calculate the square root: (||vec{v}|| = sqrt{29})

Answer

Step: 1 ：The length or magnitude of a vector (vec{v}) is given by (||vec{v}|| = sqrt{x^2 + y^2 + z^2}), where (x, y, z) are the components of the vector.Step: 2 ：Substitute the components of the vector (vec{v}) into the formula: (||vec{v}|| = sqrt{(3)^2 + (-2)^2 + (4)^2})Step: 3 ：Simplify the expression: (||vec{v}|| = sqrt{9 + 4 + 16})Step: 4 ：Calculate the square root: (||vec{v}|| = sqrt{29})

Find the length of the vector \( \vec{v} = 3\hat{i} - 2\hat{j} + 4\hat{k} \)

Answer

Popular Problems