Consider a in the positive direction of x , b in the positive direction of y , a
ID: 1332616 • Letter: C
Question
Consider a in the positive direction of x, b in the positive direction of y, and a scalar d.
Sorry this has so many parts! This question had be confused. Thanks for your help!
(a) What is the direction of b/d if d is positive?
positive x, negative y, negative x, positive y, none of these
(b) What is the direction of b/d if d is negative?
negative y, none of these positive y, negative x, positive x
(c) What is the magnitude of a·b?
none of these, a/b 0, a + b, ab
(d) What is the magnitude of a·b/d?
(e) What is the direction of the vector resulting from a x b?
positive z, positive y, negative y, none of these, negative z
(f) What is the direction of the vector resulting from b x a?
positive y negative z, negative y, positive z, none of these
(g) What are the magnitudes of the cross products in (e) and (f)?
a/b, none of these, a + b, ab, ab
(h) What is the magnitude of a x b/d if d is positive?
(a + b)/d, ab none of these, ab/d, (a + b)/d
(i) What is the direction of a x b/d if d is positive?
negative z, positive x, positive z, none of these, positive y
Explanation / Answer
here,
a is vector
b is vector
d is scaler
(a)
as b is vector and d is scaler
the direction of b/d if d is positive is in positive direction of y
(b)
as b is vector and d is scaler
the direction of b/d if d is negative is in negative direction of y
(c)
the magnitude of a.b is 0
as angle between a and b is 90 degree
(d)
as angle between a and b is 90 degree
the magnitude of a.b/d is also zero
(e)
the dirrection of vector resulting aXb is in + z direction
(f)
the dirrection of vector resulting aXb is in - z direction
(g)
the magnitude of the cross product is ab
(h)
the magnitude of aXb/d is ab/d
(i)
the direction of aXb/d is in negative z direction
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