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9.00 and the angles are as givenDetermine the dot or scalar product of the pairs of vectors shown in the figures. The magnitudes of the vectors are A =5.00, B8.00, C8.00, and D(a)B6020°(b) C Dy60°30°1001A14C10

Question

Please show me how to work this. Don't round any figures please.

9.00 and the angles are as given
Determine the dot or scalar product of the pairs of vectors shown in the figures. The magnitudes of the vectors are A =
5.00, B
8.00, C
8.00, and D
(a)
B
60
20°
(b) C D
y
60°
30°
100
1A
14C
10
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9.00 and the angles are as given Determine the dot or scalar product of the pairs of vectors shown in the figures. The magnitudes of the vectors are A = 5.00, B 8.00, C 8.00, and D (a) B 60 20° (b) C D y 60° 30° 100 1A 14C 10

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Step 1

The dot product of two vectors can be calculated using following steps,

Given:

The magnitude of vectors is,

A
= 5.00
B 8.00
= 8.00
D =9.00
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A = 5.00 B 8.00 = 8.00 D =9.00

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Step 2

Calculation:

The scalar product of two vectors is given by,

ABA|B|cose
Where
e= Anglebetween A and B
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ABA|B|cose Where e= Anglebetween A and B

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Step 3

Part (a):

The scalar product ...

А.В - |4|B/сos @
e=60°-200 40°
A.B (5.00) (8.00) cos (40)
A.B 30.64 unit
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А.В - |4|B/сos @ e=60°-200 40° A.B (5.00) (8.00) cos (40) A.B 30.64 unit

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Science

Physics

Vectors and Scalars

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