If vector C Is added to vector D, the result is a third vector that is perpendic

Question

If vector C Is added to vector D, the result is a third vector that is perpendicular to D and has a magnitude equal to 5D. What is the radio of the magnitude of C to that of D? 4.7 1.4 5.1 40 2.5 The displacement of the tip of the 30 cm long minute hand of a dock between 11:10 A.M. and 11:25 P.M. is. 30 cm, 90 astir 30 cm, 180 astir 42 cm, 270 astir 42 cm, 90 astir 30 cm, 4410 astir The diagram below snows 4 vectors which sum to zero, all of equal length Which statement below is true? A - B 2A - C D A - B - D - 2A + C A + B - B - C - D A + B - D - A - C 2A + 2B + 2D - 2C

Explanation / Answer

qs 3)

Draw right angled ABC with A = 90°
Let AB represent vector d and BC represent vector c, then AC is the resultant of c and d and its magnitude = 5d
By Pythagorus formula,
AB^2 + AC^2 = BC^2
=> d^2 + (5d)^2 = c^2
=> 26d^2 = c^2
=> c/d = (26)= 5.09

Ans- c)5.1

qs 4)

For every 5 minutes, the minute hand moves 30 degrees. Between 11:10 A.M and 11:25 P.M, there is a total time lapse of 12 hours and 15 minutes. Therefore, the minute hand must've traveled 360(12) + 90 = 4410 degrees.
Only option that makes sense is E.

Ans e) 30 cm,4410 degree

qs 5)

A+B+C+D=0

or A+B=-C-D

or A+C=-B-D

or 2A+C=A-B-D

or A-B-D=2A+C

Ans- Part b

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