The velocity of a boat relative to water is and that of water relative to earth is . What is the magnitude and direction of boat w.r.t earth?

Explanation: Step 1: Write Down Given Vector Quantities Velocity of boat relative to water ( ) = Velocity of water relative to earth ( ) = Step 2: Find Velocity of Boat w.r.t Earth ( ) Using the principle of relative velocity: Step 3: Calculate the Magnitude Step 4: Calculate the Direction The direction angle with respect to the x-axis ( ) is given by: Correct Answer: (b)

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NIMCET 2007 — Mathematics PYQ

NIMCET | Mathematics | 2007

The velocity of a boat relative to water is $3 \hat{i} + 4 \hat{j}$ and that of water relative to earth is $\hat{i} - 3 \hat{j}$ . What is the magnitude and direction of boat w.r.t earth?

NIMCET 2007 — Mathematics PYQ

Choose the correct answer:

Explanation

Step 1: Write Down Given Vector Quantities

Step 2: Find Velocity of Boat w.r.t Earth ( $v_{b e}$ )

Step 3: Calculate the Magnitude

Step 4: Calculate the Direction

Correct Answer: