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- Plzäböi 25 Q4) Let vector A = 5i+2j, vector B = -3i-5j, and vector E = %3D %3D (2A) + (3B). (a) Write vector E in component form. (b) Draw a coordinate system and on it show the three vectors (A, B * .and E) إضافة ملفFind the equation of the plane that passes through the point (−2, 8, 4) and contains vectors ⃗a (2,4,6) and ⃗b(4, -2,6)
- 3 Let v = 2 10. (a) How many vectors does Span {v} contain? (b) List a few vectors in Span {v} and explain why they are in the span. (c) Give one vector from R not in Span {v} and explain why it is not in the span.3 •(-)-(1)- 0-0-- -4 and 2 iii) The area of the parallelogram spanned by the three-dimensional vectors is NumberPlease solve conplete
- 5) Find a vector in component form that is orthogonal to the vectors a = (9,3,-7) and b = (10,-8,2)Find the area of a parallelogram with two sides identified by vectors from the origin to the points (3,4) and (8,0)A hot air balloon has traveled a horizontal distance that can be represented by the vector <3000,0> and a vertical distance that can be represented by the vector <0,500>, where the magnitude of both vectors is measured in feet. What is the magnitude of the distance the balloon has traveled?
- A=(-5, 12) B= (4, 6) A and B as vectors. Calculate the projection of vector B on vector A and deliver the result according to the following example ½ (3,5)Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n= 9i + 2j + 2k. Using a coefficient of 9 for x, the equation for the plane through the point Po = (2,10,7) and normal to n= 9i + 2j + 2k is |.