1. Find value(s) of m in \(\vec{v} = 4m\hat{i} + \hat{j} + 3\hat{k}\) and \(\vec{w} = 2\hat{i} + 8m\hat{j} + 6\hat{k}\) such that the vectors are (a) parallel. (b) orthogonal. 2. A block is placed on an inclined ramp that is parallel to \(\vec{d} = 5\hat{i} - \hat{k}\), and starts to slide down along the ramp. The weight of the block is \(\vec{w} = -50\hat{k}\) lbs. Assume there are no other forces at play. Find the force that is parallel to the ramp that displaces the block along the ramp.
Added by Edward F.
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This means that the direction of vec(v) is a scalar multiple of the direction of vec(w). Show more…
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A block is placed on an inclined ramp that is parallel to d⃗ = 5ˆi − kˆ, and starts to slide down along the ramp. The weight of the block is w⃗ = −50kˆ lbs. Assume there are no other forces at play. Find the force that is parallel to the ramp that displaces the block along the ramp.
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