PART A
a) Calculate the area of a triangle whose vertices are given by (3,-1, 2), (1, -1,2)
and (4, -2, 1).
b) Determine the unit tangent vector to the following curve at t = 1
F = 212 + (+3 – 4t)j + (5t – 4² ) k
Solve the following ordinary differential equations:
a) dy + y cot x = ecosx for x = y = -2
COS X
b) deydy + y=0
ka is driven into a brick wall. Its bumper
5 x 106 Nm ') and is compressed by a distance of
5a) In a safety test, a car of mass 1000 kg is driven into
behaves like a spring (k = 5 x 10 Nm-1) and
mes to rest. Determine the initial speed of the
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THEREFORE AREA OF TRIANGLE=3SQUAREUNITS
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