Respuesta :
28 + vector b = -12
vector b = -40
vector b has magnitude 40 units in the negative y direction.
Step-by-step explanation:
The magnitude of vector b is 47 units
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Further explanation
Vector is quantity that has magnitude and direction.
One example of a vector is displacement.
Let us now tackle the problem !
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This problem is about Vector Diagram.
Assume :
Unit vector in the positive y-direction are \widehat{j}
j
Unit vector in the negative y-direction are - \widehat{j}−
j
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Vector \overrightarrow{a}
a
has a magnitude of 29 units and points in the positive y-direction :
\boxed{ \overrightarrow{a} = 29 \widehat{j} }
a
=29
j
→ Equation 1
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The resultant vector \overrightarrow{a}
a
+ vector \overrightarrow{b}
b
points in the negative y-direction with a magnitude of 18 units :
\overrightarrow{a} + \overrightarrow{b} = -18 \widehat{j}
a
+
b
=−18
j
29 \widehat{j} + \overrightarrow{b} = -18 \widehat{j}29
j
+
b
=−18
j
← Equation 1
\overrightarrow{b} = -18 \widehat{j} - 29 \widehat{j}
b
=−18
j
−29
j
\boxed {\overrightarrow{b} = -47 \widehat{j}}
b
=−47
j
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Conclusion :
Magnitude of vector |\overrightarrow{b}|∣
b
∣ is 47 units
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The vector diagram of this problem can be drawn as seen in the attachment.
Blue arrow represents vector \overrightarrow{a}
a
Green arrow represents vector \overrightarrow{b}
b
Black arrow represents vector \overrightarrow{a}
a
+ vector \overrightarrow{b}
b
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Learn more
Direction of Displacement : https://brainly.ph/question/1746541
Scalar and Vector : https://brainly.ph/question/274572
Weight : https://brainly.ph/question/545327
Orientation of Vectors : https://brainly.ph/question/2121753
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Answer details
Grade: High School
Subject: Physics
Chapter: Vectors
