Question

1.
What is the value of linear velocity if r : -3i +4j + 6k
w : -5i + 3j +5k
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Answer 1

Answer:

5√14

Explanation:

v = ω × r

From the picture,

v = {i × [(3 × 6) - (5 × 4)]} - {j × [(-5 × 6) - (-3 × 5)]} + {k × [(-5 × 4) - (-3 × 3)]}

⇒ [i × (-2)] - [j × (-15)] + [k × (-11)]

⇒ -2i + 15j - 11k

∴ r = -2i + 15j - 11k

⇒ |r| = $\sqrt{2^{2} + 15^{2} + 11^{2}}$

⇒ |r| = √350 = 5√14

∴ r = 5√14 units

Thanks !