NCERT Class 12-Mathematics: Chapter – 10 Vector Algebra Part 4 (For CBSE, ICSE, IAS, NET, NRA 2023)
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Question 13:
The angle between the vectors and is
(A)
(B)
(C)
(D)
Answer:
(B) is the correct answer. Apply the formula .
Question 14:
The value of for which the two vectors and are perpendicular is
(A)
(B)
(C)
(D)
Answer:
(D) Is the correct answer.
Question 15:
The area of the parallelogram whose adjacent sides are and is
(A)
(B)
(C)
(D)
Answer:
(B) Is the correct answer.
Area of the parallelogram whose adjacent sides are is .
Question 16:
If and , the value is
(A)
(B)
(C)
(D) None of these
Answer:
(C) Is the correct answer.
Using the formula .
Therefore,
Question 17:
The 2 vectors represents the two sides AB and AC, respectively of a ΔABC. The length of the median through A is
(A)
(B)
(C)
(D) None of these
Answer:
(A) Is the correct answer.
Median is given by
Question 18:
The projection of vector along is
(A)
(B)
(C)
(D)
Answer:
(A) Is the correct answer.
Projection of a vector is
Question 19:
If and are unit vectors, then what is the angle between and for to be a unit vector?
(A)
(B)
(C)
(D)
Answer:
(A) Is the correct answer.
We have