Vectors (C4)
The points A and B have coordinates (2, 1, -1) and (3, 1, -2) respectively.
The angle OBA is θ, where O is the origin.
a)
(i) Find the vector AB
(ii) Show that cosθ=5/(2√7)
The point C is such that OC =2OB. The line l is parallel to AB and passes through the point C. Find the vector equation of l.
The point D lies on l such that the angle ODC = 90o. Find the coordinates of D.
The angle OBA is θ, where O is the origin.
a)
(i) Find the vector AB
(ii) Show that cosθ=5/(2√7)
The point C is such that OC =2OB. The line l is parallel to AB and passes through the point C. Find the vector equation of l.
The point D lies on l such that the angle ODC = 90o. Find the coordinates of D.
Original post by katiealex99
The points A and B have coordinates (2, 1, -1) and (3, 1, -2) respectively.
The angle OBA is θ, where O is the origin.
a)
(i) Find the vector AB
(ii) Show that cosθ=5/(2√7)
The point C is such that OC =2OB. The line l is parallel to AB and passes through the point C. Find the vector equation of l.
The point D lies on l such that the angle ODC = 90o. Find the coordinates of D.
The angle OBA is θ, where O is the origin.
a)
(i) Find the vector AB
(ii) Show that cosθ=5/(2√7)
The point C is such that OC =2OB. The line l is parallel to AB and passes through the point C. Find the vector equation of l.
The point D lies on l such that the angle ODC = 90o. Find the coordinates of D.
Interesting, how much of that can you do?
What have you got up to in the question?
i worked it out eventually i knew it was wrong but couldnt work out why until my dad spotted that i reversed a sign. Thanks anyway
Original post by katiealex99
i worked it out eventually i knew it was wrong but couldnt work out why until my dad spotted that i reversed a sign. Thanks anyway
Great!
Just a tip for the future, we're all happy to provide help but we'd appreciate if you can post a pic of your working so far so we can guide you through the question - you'll understand it much better that way
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