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General Questions Set 12:

Quiz Mode

Convert 15° into radians.

π/3

π/6

π/12

π/15

Solution:

Find the magnitude of the vector A = i + 2j + 3k

√6

√5

2√2

√14

Solution:

Find the magnitude of the vector A = (√2)i + (√3)j + k

√6

√14

Solution:

If sin^-1 x = y, then the possible range of y is:

0 ≤ y ≤ π

-π/2 ≤ y ≤ π/2

0 < y < π

-π/2 < y < π/2

Solution:

If matrix A is a Skew-Hermitian Matrix, then which of the following is true?

A' = A

A' = -A

A^θ = A

A^θ = -A

Solution:

For matrices M and N of the same dimension, and a scalar c, which one of these properties does not always hold?

cM = Mc

MN ≠ NM

Solution:

The solution of the differential equation y''(x) + y = 0 is

y = a (sin x)^2

y = a sin x

y = a cos x + b sin x

y = a cos x - b sin x

Solution:

Rolle's Theorem is a special case of which theorem?

Mean Value Theorem

Taylor Series of a function

Leibniz Theorem

Leibnit'x Theorem

Solution:

If X, Y, Z are square matrices of the same order, then (XYZ)^-1 is equal to

Z^-1 Y^-1 X^-1

X^-1 Y^-1 Z^-1

X^-1 Z^-1 Y^-1

Z^-1 X^-1 Y^-1

Solution:

If C⃗ = A⃗ - B⃗, where A⃗ = i⃗ + 2j⃗ + 3k⃗ and B⃗ = 2i⃗ + 4j⃗ + 6k⃗, find C⃗.

3i⃗ + 6j⃗ + 9k⃗

2i⃗ + 8j⃗ + 18k⃗

-i⃗ - 2j⃗ - 3k⃗

-3i⃗ - 6j⃗ - 9k⃗

General Questions Set 12:

Convert 15° into radians.

Solution:

Find the magnitude of the vector A = i + 2j + 3k

Solution:

Find the magnitude of the vector A = (√2)i + (√3)j + k

Solution:

If sin^-1 x = y, then the possible range of y is:

Solution:

If matrix A is a Skew-Hermitian Matrix, then which of the following is true?

Solution:

For matrices M and N of the same dimension, and a scalar c, which one of these properties does not always hold?

Solution:

The solution of the differential equation y''(x) + y = 0 is

Solution:

Rolle's Theorem is a special case of which theorem?

Solution:

If X, Y, Z are square matrices of the same order, then (XYZ)^-1 is equal to

Solution:

If C⃗ = A⃗ - B⃗, where A⃗ = i⃗ + 2j⃗ + 3k⃗ and B⃗ = 2i⃗ + 4j⃗ + 6k⃗, find C⃗.

Solution:

Related Question Sets:

Related Topics:

General Questions Set 12:

Convert 15° into radians.

Solution:

Find the magnitude of the vector A = i + 2j + 3k

Solution:

Find the magnitude of the vector A = (√2)i + (√3)j + k

Solution:

If sin-1 x = y, then the possible range of y is:

Solution:

If matrix A is a Skew-Hermitian Matrix, then which of the following is true?

Solution:

For matrices M and N of the same dimension, and a scalar c, which one of these properties does not always hold?

Solution:

The solution of the differential equation y''(x) + y = 0 is

Solution:

Rolle's Theorem is a special case of which theorem?

Solution:

If X, Y, Z are square matrices of the same order, then (XYZ)-1 is equal to

Solution:

If C⃗ = A⃗ - B⃗, where A⃗ = i⃗ + 2j⃗ + 3k⃗ and B⃗ = 2i⃗ + 4j⃗ + 6k⃗, find C⃗.

Solution:

Related Question Sets:

Related Topics:

If sin^-1 x = y, then the possible range of y is:

If X, Y, Z are square matrices of the same order, then (XYZ)^-1 is equal to