Vector A with arrow has a magnitude of 35 units and points in the positive y direction. When vector B with arrow is added to A with arrow, the resultant vector A with arrow + B with arrow points in the negative y direction with a magnitude of 16 units. Find the magnitude and direction of B with arrow vhegg

Respuesta :

Answer:

The magnitude and direction of B vector is 51 in negative y-direction.

Step-by-step explanation:

We have :

[tex]|\overset{\rightarrow} A|=35 units[/tex] ( in positive y-direction)

[tex]|\overset{\rightarrow} B|=?[/tex]

Resultant vector =

[tex][tex]|\overset{\rightarrow} R|=|\overset{\rightarrow} A|+|\overset{\rightarrow} B|=-16 units[/tex] ( in negative y-direction)

[tex]35 unit +|\overset{\rightarrow} B|=-16 units[/tex]

[tex]|\overset{\rightarrow} B|=-16 units-35 units=-51 units[/tex]

The magnitude and direction of B vector is 51 in negative y-direction.

Ver imagen Tringa0

The magnitude and direction of the B vector are 51 in the negative y-direction.

Given that

Vector A with an arrow has a magnitude of 35 units and points in the positive y-direction.

When vector B with an arrow is added to A with an arrow, the resultant vector A with arrow + B with arrow points in the negative y-direction with a magnitude of 16 units.

We have to determine

The magnitude and direction of B with an arrow.

According to the question

Vector A with an arrow has a magnitude of 35 units and points in the positive y-direction.

[tex]\rm |\vec A| = 35 \ units[/tex]

When vector B with an arrow is added to A with an arrow.

The resultant vector A with arrow + B with arrow points in the negative y-direction with a magnitude of 16 units.

[tex]\rm |\vec Resultant| = |\vec A| + |\vec B| \\ \\ -16 = 35+ |\vec B| \\\\ |\vec B| = -35-16 \\\\ \vec B| = -51 \ units[/tex]

Hence, The magnitude and direction of the B vector are 51 in the negative y-direction.

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