Show that X is perpendicular to Y when X=i+j+3k and Y=i-7j+2k Answer: (X)(Y) should be 0 Kindly show the complete solution in this manner: Given Equation Solution
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Show that X is perpendicular to Y when X=i+j+3k and Y=i-7j+2k
Answer: (X)(Y) should be 0
Kindly show the complete solution in this manner:
Given
Equation
Solution
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- Consider the two vectors A-5i-j and B = - i- 4j. (a) Calculate A+B i+ (b) Calculate A -R i (c) Calculate A+ E (d) Calculate A - E (e) Calculate the directions of A +B and A-B. * (counterclockwise from the +x axis) A - B * (counterclockwise from the +x axis)Given that the coordinates of A = (10, 5, 9), B = (7, 7, 9) and magnitude of the force in pole AB is 7 N. Compute the force vector AB. AB= 35 81 70 A 7x0% 7 X0% B ? *0% 5+ N 2+ 0What is the angle between theses two vectors A = 14i – 5j +11k and B = 3i + 7j+ 10k ?
- Calculate the angle between the vectors A=(5;4) and B=(2;8)Our vectors P and Q have the same amount. How can we rearrange them so that the sum of them is toward the right? Explain this?Here are two vectors: [4.00m 4.00 m and b 6.00 m + (8.00 m What are |(f) the angle of a + ; (g) the magnitude and (h) the angle of D - a ; and (i) the magnitude and (j) the angle of a - b? (State your angle as a positive number.) (k) What is the angle between the directions of a - b ? and (a) Number 5.7 Units (b) Number Units ° (degrees) -45 (c) Number 10 Units (d) Number Units P (degrees) 53.13 (e) Number 10.77 Units (f) Number Units (degrees) 29.68314017
- Give a vector parametric equation for the line through the point (5, 3,0) that is parallel to the line (-3 – 4t, 5t – 2, 5 – 4t): L(t) = (Enter your answer as )What is the relation between A×B and BxA, The magnitudes are the same but they are in opposite directions, i.e., (Ã×B)=-(BxÃ) The order of the vectors in a cross product doesn't matter so they are the same, i.e., (ÃxB)=(BxÃ)Let the x-, y-, and z-axes be identified as axes 1, 2, and 3, respectively. Find the angle between A and axis 2 if A=0.17, Ay = 2.76, and A₂ = 2.98. [Hint: Write the unit vector in the direction of axis 2 and use A. B = A₂ B₂ + A, B, + A₂B₂ = AB cos 1 Φ Record your numerical answer below, assuming three significant figures. A
- Use the law of sines and the law of cosines, in conjunction with sketches of the force triangles, to solve the following problems. Determine the magnitude of the resultant R and the angle e between the x-axis and the line of action of the resultant for the following: 450 Ib 52° 62 600 lbGiven p = 3i + 2j - k and q = -3i + j + 5k find (a) 2q - p ANSWER : Answer i + Answer j + Answer k (b) p . q (scalar product) ANSWER: Answer (c) The angle θ between p and q ANSWER: Answer *answer in TWO decimal point (d) p x q (vector product) ANSWER : Answer i + Answer j + Answer kGiven the vectors A=7-6ŷ+9 2 B=-5-2ŷ Is the angle sandwiched between them acute or obtuse?