Question

If|Ā = 3 units, B = 4 units and the angle between vectors A and B is 90°, then the magnitude and direction of resultant R with vector A are O ( (a) R = 25 units and tan d = 4/3 O (b) R = 5 units and tan 0 = 4/3 O (c) R = 25 units and tan 0 = 3/4 O (d) R = 5 units and tan $ = 3/4​

Answer 1

Answer:

Pleasemark Brainlist

Explanation:

2/4

Answer 2

Concept:

• Vector addition
• Pythagoras' theorem

Given:

• The magnitude of Vector A, A = 3
• The magnitude of vector B, B = 4
• Angle theta between the vectors A and B = 90°

Find:

• The magnitude of the resultant vector
• The direction of the resultant vector

Solution:

The magnitude of a resultant vector is the square root of the sum of the squares of the two individual vectors that are perpendicular to each other

R = √(A^2 +B^2)

R = √(3^2 +4^2)

R = √(9 + 16)

R = √(25)

R = 5 units

To find the direction, we know that tan theta = y/x = 3/4

Theta = arctan 3/4 = 37°

The magnitude of the resultant is 5 units and the direction is 37°.

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