Write B in component form. Express your answer in terms of the unit vectors i an

Question

Write B in component form. Express your answer in terms of the unit vectors i and . Use the 'unit vector button to denote unit vectors in your answer. For the three vectors shown in (Figure 1), A + B + What is vector B? = 1 Request Answer Part B What is the magnitude of B? Express your answer using two significant figures. Figure 1 of 1 Submit Part C What is the direction angle of B, measured clockwise from the negative z axis? Express your answer using two significant figures. 4. Request Answer

Explanation / Answer

According to the concept of the vector algebra

Given that

Vector A=3i

Vector B=?

Vector C=-4 j

Now we find the vector B

A+B+C=1j

B=1j-(A+C)=1j-(3i-4j)=-3i+4j

Vector B=-3i+5j

The magnitude of the vector B=(3^2+5^2)^1/2=5.83

Direction =tan^-1(-5/3)=120.9

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