NCERT Class 12-Mathematics: Chapter –10 Vector Algebra Part 9
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Question 32:
If , then the range of is
(A)
(B)
(C)
(D)
Answer: (C)
Question 33:
The number of vectors of unit length perpendicular to the vectors and is
(A) One
(B) Two
(C) Three
(D) Infinite
Answer: (B)
Fill in the Blanks in Each of the Exercises from 34 to 40
Question 34:
The vector bisects the angle between the non-collinear vectors and if ________
Answer:
If and are equal vectors
Question 35:
If for some non-zero vector then the value of is ____________.
Answer:
Question 36:
The vectors and are the adjacent sides of a parallelogram. The acute angle between its diagonals is ________.
Answer:
Question 37:
The values of for which is parallel to holds true are _______.
Answer:
Question 38:
The value of the expression is____________.
Answer:
Question 39:
If is equal to _____________.
Answer:
Question 40:
If is any non-zero vector, then equals _____________
Answer:
State True or False in Each of the Following Exercises
Question 41:
If , then necessarily it implies
Answer: True
Question 42:
Position vector of a point is a vector whose initial point is origin.
Answer: True
Question 43:
If then the vectors and are orthogonal.
Answer: True
Question 44:
The formula is valid for non-zero vectors and .
Answer: False
Question 45:
If and are adjacent sides of a rhombus, then .
Answer: False