Find the direction angle of the vector (vec{v} = 2hat{i} + 3hat{j})

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Accepted Answer

Step:1 ：Step 1: Determine the magnitude of the vector (vec{v}). The magnitude of the vector (vec{v}) can be found using the formula (|vec{v}| = sqrt{x^2 + y^2}), where (x) and (y) are the components of the vector. For the vector (vec{v} = 2hat{i} + 3hat{j}), the magnitude is (|vec{v}| = sqrt{2^2 + 3^2} = sqrt{4 + 9} = sqrt{13})Step:2 ：Step 2: Determine the direction angle of the vector. The direction angle (theta) of a vector can be found using the formula (theta = arctanleft(frac{y}{x}right)), where (x) and (y) are the components of the vector. For the vector (vec{v} = 2hat{i} + 3hat{j}), the direction angle is (theta = arctanleft(frac{3}{2}right))

Answer

Step: 1 ：Step 1: Determine the magnitude of the vector (vec{v}). The magnitude of the vector (vec{v}) can be found using the formula (|vec{v}| = sqrt{x^2 + y^2}), where (x) and (y) are the components of the vector. For the vector (vec{v} = 2hat{i} + 3hat{j}), the magnitude is (|vec{v}| = sqrt{2^2 + 3^2} = sqrt{4 + 9} = sqrt{13})Step: 2 ：Step 2: Determine the direction angle of the vector. The direction angle (theta) of a vector can be found using the formula (theta = arctanleft(frac{y}{x}right)), where (x) and (y) are the components of the vector. For the vector (vec{v} = 2hat{i} + 3hat{j}), the direction angle is (theta = arctanleft(frac{3}{2}right))

Find the direction angle of the vector $\vec{v} = 2 \hat{i} + 3 \hat{j}$

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Popular Problems

Find the direction angle of the vector v→=2i^+3j^

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Popular Problems

Find the direction angle of the vector $\vec{v} = 2 \hat{i} + 3 \hat{j}$