Consider two vectors vec{F}_1 = 2hat{i} + 5ha | vedclass

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(D) The scalar product (dot product) of two vectors $\vec{A} = A_x\hat{i} + A_y\hat{j} + A_z\hat{k}$ and $\vec{B} = B_x\hat{i} + B_y\hat{j} + B_z\hat{

Vedclass · Accepted Answer

$20$

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(D) The scalar product (dot product) of two vectors $\vec{A} = A_x\hat{i} + A_y\hat{j} + A_z\hat{k}$ and $\vec{B} = B_x\hat{i} + B_y\hat{j} + B_z\hat{k}$ is given by $\vec{A} \cdot \vec{B} = A_x B_x + A_y B_y + A_z B_z$.Given $\vec{F}_1 = 2\hat{i} + 0\hat{j} + 5\hat{k}$ and $\vec{F}_2 = 0\hat{i} + 3\hat{j} + 4\hat{k}$.Calculating the dot product: $\vec{F}_1 \cdot \vec{F}_2 = (2)(0) + (0)(3) + (5)(4)$.$\vec{F}_1 \cdot \vec{F}_2 = 0 + 0 + 20 = 20$.The magnitude of the scalar product is $20$.

Consider two vectors $\vec{F}_1 = 2\hat{i} + 5\hat{k}$ and $\vec{F}_2 = 3\hat{j} + 4\hat{k}$. The magnitude of the scalar product of these vectors is

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