Determine the angle between vector AB and vector AC.
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- Determine (a) the angle between the position vectors P and Q; and (b) a unit vector perpendicular to P and Q.The length of the position vector r is 240 mm. Determine the rectangular components of (a) r; and (b) the unit vector directed from O toward A.Find a unit vector that is perpendicular to both A=4i-3j-2km and B=2i4j+3km.
- A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what distance d will kx for the new region be the same as kx (for the region before the cutout was removed?It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.For the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the direction of OA.
- Find the projection of the vector A=-2j+k^ on the vector B= 6i+4 j+8k^The vector product of vectors A vec and B vec has magnitude 16.0 m2and is in the +z-direction. If vector A S has magnitude 8.0 m and is in the-x-direction, what are the magnitude and direction of vector B vec if it hasno x-component?Find the resultant of the vectors and it's direction. Vector A (2,6) and B (8,1)
- 1. Vector 1 is 30 m/s at 300° and Vector 2 is 80 m/s at 50°. Direction at CCW due East.a) Calculate the resultant vector using Pythagorean theorem and/or trigonometry.Answer the following question: 2. What is the difference between a scalar and a vector with what is shown in the image.The moment of a force about a point O in a 3D coordinate system is solved by computing the cross product of r x F. If r is given as the vector <10, -8, -12> and F is given as <10, -8, 2> what is the moment of F about point O, i.e. the cross product of the vectors r and F?