Question

III. Long Answers:
3. Find the resultant (both magnitude and direction) of the vectors given in the figure.
3m
60°
4m
(Given cos 60º = 0.5; sin 60º = 0.866)​

Answer 1

Answer:

Who have studied the customs and practices of present day farmers and headers?

a. Archaeologists

b. Scholars

c. Astrologists

d. None of these

Answer 2

Explanation:

Let the vectors be A→ and B→ such that

A→ = 3m

B→ = 4m

∅ = 60°

we know that,

A + B = R = √(A² + B² + 2ABcos∅)

R = √(3² + 4² + 2(3)(4)cos60°)

= √(9 + 16 + 24(0.5))

= √(25 + 12)

= √37m magnitude

R→ = sin ø = A/R × sin ∅

sin ø = 3/√37 × sin60°

sin ø = 0.493 × 0.866

sin ø = 0.427

ø ≈ 25.3° direction