What is the length of the vector A+B+C, the sum of three orthogonal vectors? A = 3k m B = 4j m C = 5i m
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Q: given the vector v=i+2j+k what is the angle between v and the xaxis
A: v→ = i^ + 2j^ + k^ Magnitude of vector v = (1)2 + (2)2 + (1)2= 1+4+1= 2.45
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A: The x and y component of a vector is given by : x=xsinθandy=ycosθ
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- Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: = 3ते + 2bConsider the following vectors: A = 1.2i + 4.9j + 3.7k B = -8.5i + 7.5j + 8.3k Part (a) What is the x-component of the vector V = 3(A × 2B)? Part (b) What is the y-component of the vector V = 3(A × 2B)? Part (c) What is the z-component of the vector V = 3(A × 2B)? Part (d) What is the magnitude of the vector V?Identify which of the following vectors are perpendicular to C. Vector C 60° 45° 60 20° 60° 60° 30° 40° 30° 30°
- A = direction of vector 1. Vector A 1.00 i + -2.00 and vector B = 3.00 / B = 3.00 i +4.00 +4.00 j. What are the magnitude and = A + B ? Answer: 4.47 in a direction 26.6° counterclockwise from the positive x axis KThe three vectors given are ā = 5.0 î+4.0 j-6.0 k b =-2.0 i+2.0 j+3.0 k č = 4.0 î+3.0 j+2.0 k The vector i = ä +b-¯ and its magnitude is respectively 7= -1.01+3.0ĵ-5.0k;|7|=6 7=11.01+5.0ĵ – 7.0k; |7|=14 7 =11.01+5.0J+7.0k; |7|=14 None of the aboveAssume you have the following two vectors:A:15i+16j+13k B=4.4i+6.5j-1.6k What is the x-component of the vector V = A × B? What is the y-component of the vector V = A × B? What is the z-component of the vector V = A × B? What is the magnitude of the vector V = A × B?
- What are the x and y components of the vector 10.0 m at 45.0 degrees West of North? x=-7.07 m y= 7.07 m x=7.07 m y= -7.07 m x=7.07 m y= 7.07 m x=-7.07 m y= -7.07 mFor the following displacement vectors in meters: A = +4.0 - 5.0k, B=-3.0 +2.0k, and C= -3.0-2.0 +1.0k. Calculate (a) A −2B +3C, (b) A-B, (c) the angle between A and B, and (d) A × (B+C).