NCERT Class 12-Mathematics: Chapter – 10 Vector Algebra Part 9 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 32:

If , then the range of is

(A)

(B)

(C)

(D)

Question 33:

The number of vectors of unit length perpendicular to the vectors and is

(A) One

(B) Two

(C) Three

(D) Infinite

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 ________

If and are equal vectors

Question 35:

If for some non-zero vector then the value of is ________.

Question 36:

The vectors and are the adjacent sides of a parallelogram. The acute angle between its diagonals is ________.

Question 37:

The values of for which is parallel to holds true are ________.

Question 38:

The value of the expression is________.

Question 39:

If is equal to ________.

Question 40:

If is any non-zero vector, then equals ________

State True or False in Each of the Following Exercises

Question 41:

If , then necessarily it implies

Question 42:

Position vector of a point is a vector whose initial point is origin.

Question 43:

If then the vectors and are orthogonal.

Question 44:

The formula is valid for non-zero vectors and .