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Question 1:
Find the angle between two vectors
having
and with magnitudes
.
Answer 1:
It is given that,
Now, we know that
.
Hence, the angle between the given vectors
is
and
Question 2:
Find the angle between the vectors
Answer 2:
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Question 1:
Write down a unit vector in XY-plane, making an angle of 30 with the positive direction
of x-axis.
Answer 1:
If
is a unit vector in the XY-plane, then
Here, is the angle made by the unit vector with the positive directi
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Question 1:
Compute the magnitude of the following vectors:
Answer 1:
The given vectors are:
Question 2:
Write two different vectors having same magnitude.
Answer 2:
Hence,
are two different vectors having the same magnitude. The v
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Question 1:
Find
, if
and
.
Answer
We have,
and
Question 2:
Find a unit vector perpendicular to each of the vector
and
and
Answer
We have,
and
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1
, where
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and
Hence, the unit vect
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Question 1:
Represent graphically a displacement of 40 km, 30 east of north.
Answer 1:
Here, vector
represents the displacement of 40 km, 30
East of North.
Question 2:
Classify the following measures as scalars and vectors.
(i) 10